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61255755755216 = 24113128649391889
BaseRepresentation
bin11011110110110001101111…
…00011111110111011010000
322000212222210221101110101122
431323120313203332323100
531012103241433131331
6334140301122221412
715621403505640611
oct1573306743767320
9260788727343348
1061255755755216
111857746920a340
126a539387b4868
1328245154c5a19
14111ab19b81c08
157136095c217b
hex37b6378feed0

61255755755216 has 80 divisors (see below), whose sum is σ = 133653927744000. Its totient is φ = 26944337817600.

The previous prime is 61255755755149. The next prime is 61255755755237.

61255755755216 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×612557557552162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156113000 + ... + 156504888.

It is an arithmetic number, because the mean of its divisors is an integer number (1670674096800).

Almost surely, 261255755755216 is an apocalyptic number.

It is an amenable number.

61255755755216 is an abundant number, since it is smaller than the sum of its proper divisors (72398171988784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61255755755216 is a wasteful number, since it uses less digits than its factorization.

61255755755216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420588 (or 420582 counting only the distinct ones).

The product of its digits is 110250000, while the sum is 62.

The spelling of 61255755755216 in words is "sixty-one trillion, two hundred fifty-five billion, seven hundred fifty-five million, seven hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 28649 57298 114596 229192 315139 391889 458384 630278 783778 888119 1260556 1567556 1776238 2521112 3135112 3552476 4310779 5042224 6270224 7104952 8621558 9769309 12148559 14209904 17243116 19538618 24297118 34486232 39077236 48594236 68972464 78154472 97188472 133634149 156308944 194376944 267268298 534536596 1069073192 2138146384 11227227961 22454455922 44908911844 89817823688 123499507571 179635647376 246999015142 348044066791 493998030284 696088133582 987996060568 1392176267164 1975992121136 2784352534328 3828484734701 5568705068656 7656969469402 15313938938804 30627877877608 61255755755216