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56235257568 = 2532741680353
BaseRepresentation
bin110100010111111000…
…011110111011100000
312101011010120002000100
4310113320132323200
51410132211220233
641500100422400
74030363542150
oct642770367340
9171133502010
1056235257568
1121938378386
12aa950a7a00
1353c27b8b49
142a1689c760
1516e1e9d813
hexd17e1eee0

56235257568 has 144 divisors (see below), whose sum is σ = 187222535136. Its totient is φ = 15675310080.

The previous prime is 56235257557. The next prime is 56235257569. The reversal of 56235257568 is 86575253265.

It is a happy number.

56235257568 is a `hidden beast` number, since 5 + 6 + 2 + 3 + 5 + 2 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56235257569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257521 + ... + 422832.

It is an arithmetic number, because the mean of its divisors is an integer number (1300156494).

Almost surely, 256235257568 is an apocalyptic number.

It is an amenable number.

56235257568 is an abundant number, since it is smaller than the sum of its proper divisors (130987277568).

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

56235257568 is a wasteful number, since it uses less digits than its factorization.

56235257568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680417 (or 680406 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 56235257568 in words is "fifty-six billion, two hundred thirty-five million, two hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 11808 13776 20664 27552 41328 82656 680353 1360706 2041059 2721412 4082118 4762471 5442824 6123177 8164236 9524942 10885648 12246354 14287413 16328472 19049884 21771296 24492708 27894473 28574826 32656944 38099768 42862239 48985416 55788946 57149652 65313888 76199536 83683419 85724478 97970832 111577892 114299304 152399072 167366838 171448956 195261311 195941664 223155784 228598608 251050257 334733676 342897912 390522622 446311568 457197216 502100514 585783933 669467352 685795824 781045244 892623136 1004201028 1171567866 1338934704 1371591648 1562090488 1757351799 2008402056 2343135732 2677869408 3124180976 3514703598 4016804112 4686271464 6248361952 7029407196 8033608224 9372542928 14058814392 18745085856 28117628784 56235257568