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56274958919808 = 2732113432299033
BaseRepresentation
bin11001100101110100010001…
…11011111010100010000000
321101020211111122102011112200
430302322020323322202000
524334002103440413213
6315404205332153200
714565505641246156
oct1462721073724200
9241224448364480
1056274958919808
1116a27092252642
12638a569a68800
1325529239c3a55
14dc7a1893b3d6
15678c92bbc273
hex332e88efa880

56274958919808 has 96 divisors (see below), whose sum is σ = 163370127938940. Its totient is φ = 18592316768256.

The previous prime is 56274958919807. The next prime is 56274958919857. The reversal of 56274958919808 is 80891985947265.

56274958919808 is a `hidden beast` number, since 5 + 6 + 27 + 4 + 9 + 589 + 1 + 9 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55259717281344 + 1015241638464 = 7433688^2 + 1007592^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (56274958919807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216019341 + ... + 216279692.

Almost surely, 256274958919808 is an apocalyptic number.

It is an amenable number.

56274958919808 is an abundant number, since it is smaller than the sum of its proper divisors (107095169019132).

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

56274958919808 is a wasteful number, since it uses less digits than its factorization.

56274958919808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432299166 (or 432299151 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 81.

The spelling of 56274958919808 in words is "fifty-six trillion, two hundred seventy-four billion, nine hundred fifty-eight million, nine hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 288 339 384 452 576 678 904 1017 1152 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 14464 16272 21696 32544 43392 65088 130176 432299033 864598066 1296897099 1729196132 2593794198 3458392264 3890691297 5187588396 6916784528 7781382594 10375176792 13833569056 15562765188 20750353584 27667138112 31125530376 41500707168 48849790729 55334276224 62251060752 83001414336 97699581458 124502121504 146549372187 166002828672 195399162916 249004243008 293098744374 390798325832 439648116561 498008486016 586197488748 781596651664 879296233122 1172394977496 1563193303328 1758592466244 2344789954992 3126386606656 3517184932488 4689579909984 6252773213312 7034369864976 9379159819968 14068739729952 18758319639936 28137479459904 56274958919808