In base 10, a d-digit number N is a narcissistic number if the sum of the dth powers of its digits is N. For example, \(1^3+5^3+3^3=153\), so 153 is narcissistic in base 10. In 1985, D. Winter proved there are 88 base-10 narcissistic numbers, the largest of which has 39 digits; 115132219018763992565095597973971522401.[1]

  1. Wolfram MathWorld, Narcissistic Number. Accessed 2021-06-01.
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