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56061646524 = 2232131795411237
BaseRepresentation
bin110100001101100010…
…001101011010111100
312100201000212201102200
4310031202031122330
51404303240142044
641430535351500
74023155063412
oct641542153274
9170630781380
1056061646524
1121859379884
12aa46b22590
135395841010
1429db7c92b2
1516d1b08369
hexd0d88d6bc

56061646524 has 144 divisors (see below), whose sum is σ = 153872802720. Its totient is φ = 17107822080.

The previous prime is 56061646469. The next prime is 56061646561. The reversal of 56061646524 is 42564616065.

56061646524 is a `hidden beast` number, since 5 + 6 + 0 + 61 + 64 + 6 + 524 = 666.

56061646524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56061646524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45320034 + ... + 45321270.

It is an arithmetic number, because the mean of its divisors is an integer number (1068561130).

Almost surely, 256061646524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56061646524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76936401360).

56061646524 is an abundant number, since it is smaller than the sum of its proper divisors (97811156196).

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

56061646524 is a wasteful number, since it uses less digits than its factorization.

56061646524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1975 counting only the distinct ones).

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

The spelling of 56061646524 in words is "fifty-six billion, sixty-one million, six hundred forty-six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 179 234 358 468 537 541 716 1074 1082 1237 1611 1623 2148 2164 2327 2474 3222 3246 3711 4654 4869 4948 6444 6492 6981 7033 7422 9308 9738 11133 13962 14066 14844 16081 19476 20943 21099 22266 27924 28132 32162 41886 42198 44532 48243 63297 64324 83772 84396 96486 96839 126594 144729 192972 193678 221423 253188 289458 290517 387356 442846 578916 581034 664269 669217 871551 885692 1162068 1258907 1328538 1338434 1743102 1992807 2007651 2517814 2657076 2676868 2878499 3486204 3776721 3985614 4015302 5035628 5756998 6022953 7553442 7971228 8030604 8635497 8699821 11330163 11513996 12045906 15106884 17270994 17399642 22660326 24091812 25906491 26099463 34541988 34799284 45320652 51812982 52198926 78298389 103625964 104397852 119789843 156596778 239579686 313193556 359369529 479159372 718739058 1078108587 1437478116 1557267959 2156217174 3114535918 4312434348 4671803877 6229071836 9343607754 14015411631 18687215508 28030823262 56061646524