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Fifty-fives is equal to \(5 \lfloor 10^{50} / 9\rfloor\), or 50 copies of 5:[1]

55,555,555,555,555,555,555,555,555,555,555,555,555,555,555,555,555
can be represented hypermathematically with interior superscription as \(5^{48}5\).

It's also equal to \(\frac{5}{9}\times(10^{50}-1)\), and its prime factorization is 5 × 11 × 41 × 251 × 271 × 5,051 × 9,091 × 21,401 × 25,601 × 182,521,213,001 × 78,875,943,472,201.

Approximations

Notation Lower bound Upper bound
Scientific notation \(5.555\times10^{49}\) \(5.556\times10^{49}\)
Arrow notation \(118\uparrow24\) \(82\uparrow26\)
Steinhaus-Moser Notation 32[3] 33[3]
Copy notation 5[50]
Taro's multivariable Ackermann function A(3,162) A(3,163)
Pound-Star Notation #*(10,2,4,3,1)*8 #*(6,3,1,2,5)*7
BEAF {118,24} {82,26}
Hyper-E notation 5E49 6E49
Bashicu matrix system (0)(0)(0)(0)[1285] (0)(0)(0)(0)[1286]
Hyperfactorial array notation 41! 42!
Fast-growing hierarchy \(f_2(157)\) \(f_2(158)\)
Hardy hierarchy \(H_{\omega^2}(157)\) \(H_{\omega^2}(158)\)
Slow-growing hierarchy \(g_{\omega^{\omega+18}2}(20)\) \(g_{\omega^{\omega+3}10}(30)\)

Sources

  1. Halm, Michael Joseph. neologisms. Archived from the original on 2014-02-19. Retrieved 2018-02-26.

See also

Repdigit googologisms
Numbers by André Joyce

Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights · twelvety-twelves
Googo- series: googoli · googoliji · googoliv · googolv · googolvi · googolvij · googolix · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoolxiv · googoolxix · googoocxexviji · googood · googoodij · googoodiv · googoodvi · googoodvij · googoodix · googoodxi
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googolplux series: googolplux · googolpluc · googolplum
Bowers' numbers attempts: Joycian gaggol · Joycian gygol · Joycian gagol · Joyce's tetratri · Joyce's pentatri · Joycian grand tridecal · Joycian dimentri · Joycian dulatri · Joycian trimentri · Joycian decaltrix
Archive André Joyce archive

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