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Sixty-sixes is equal to \(6 \lfloor 10^{60} / 9\rfloor\), or 60 copies of 6:[1]

666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666,666 or hypermathematically with interior superscription as \(6^{58}6\)
googology

Its prime factorization is 2 × 32 × 7 × 11 × 13 × 31 × 37 × 41 × 61 × 101 × 211 × 241 × 271 × 2,161 × 3,541 × 9,091 × 9,901 × 27,961 × 2,906,161 × 4,188,901 × 39,526,741.

Approximations

Notation Lower bound Upper bound
Scientific notation \(6.666\times10^{59}\) \(6.667\times10^{59}\)
Arrow notation \(74\uparrow32\) \(65\uparrow33\)
Steinhaus-Moser Notation 37[3] 38[3]
Copy notation 6[60]
Taro's multivariable Ackermann function A(3,195) A(3,196)
Pound-Star Notation #*(1,5,4,5,1,7)*6 #*(2,5,4,5,1,7)*6
BEAF {74,32} {65,33}
Hyper-E notation 6E59 7E59
Bashicu matrix system (0)(0)(0)(0)[5482] (0)(0)(0)(0)[5483]
Hyperfactorial array notation 47! 48!
Fast-growing hierarchy \(f_2(191)\) \(f_2(192)\)
Hardy hierarchy \(H_{\omega^2}(191)\) \(H_{\omega^2}(192)\)
Slow-growing hierarchy \(g_{\omega^{37}9}(39)\) \(g_{\omega^{\omega+6}4}(33)\)

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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