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56256414313104 = 24321920561554939
BaseRepresentation
bin11001100101010001101111…
…00101110110101010010000
321101012001122020110112120100
430302220313211312222100
524333201114031004404
6315351501233012400
714564251250554335
oct1462506745665220
9241161566415510
1056256414313104
1116a1a2363070a5
126386a533b4100
132550c599c0aa5
14dc6b79a6698c
15678559ad8d39
hex332a37976a90

56256414313104 has 60 divisors (see below), whose sum is σ = 165726132816400. Its totient is φ = 17765183466432.

The previous prime is 56256414313103. The next prime is 56256414313153. The reversal of 56256414313104 is 40131341465265.

56256414313104 is a `hidden beast` number, since 5 + 6 + 256 + 41 + 43 + 1 + 310 + 4 = 666.

56256414313104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562564143131042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56256414313104.

It is not an unprimeable number, because it can be changed into a prime (56256414313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10280774734 + ... + 10280780205.

Almost surely, 256256414313104 is an apocalyptic number.

It is an amenable number.

56256414313104 is an abundant number, since it is smaller than the sum of its proper divisors (109469718503296).

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

56256414313104 is a wasteful number, since it uses less digits than its factorization.

56256414313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20561554972 (or 20561554963 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 56256414313104 its reverse (40131341465265), we get a palindrome (96387755778369).

The spelling of 56256414313104 in words is "fifty-six trillion, two hundred fifty-six billion, four hundred fourteen million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 20561554939 41123109878 61684664817 82246219756 123369329634 164492439512 185053994451 246738659268 328984879024 370107988902 390669543841 493477318536 740215977804 781339087682 986954637072 1172008631523 1480431955608 1562678175364 2344017263046 2960863911216 3125356350728 3516025894569 4688034526092 6250712701456 7032051789138 9376069052184 14064103578276 18752138104368 28128207156552 56256414313104