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56656511156 = 227231014212069
BaseRepresentation
bin110100110000111111…
…011100000010110100
312102020111012222022002
4310300333130002310
51412013031324111
642005545354432
74044000253550
oct646077340264
9172214188262
1056656511156
112203413a443
12ab92198a18
13545bb5c31b
142a567d6860
151718e5e63b
hexd30fdc0b4

56656511156 has 96 divisors (see below), whose sum is σ = 119751851520. Its totient is φ = 22929984000.

The previous prime is 56656511111. The next prime is 56656511173. The reversal of 56656511156 is 65111565665.

56656511156 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 56656511156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27382490 + ... + 27384558.

It is an arithmetic number, because the mean of its divisors is an integer number (1247415120).

Almost surely, 256656511156 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 56656511156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875925760).

56656511156 is an abundant number, since it is smaller than the sum of its proper divisors (63095340364).

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

56656511156 is a wasteful number, since it uses less digits than its factorization.

56656511156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2623 counting only the distinct ones).

The product of its digits is 810000, while the sum is 47.

The spelling of 56656511156 in words is "fifty-six billion, six hundred fifty-six million, five hundred eleven thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 92 101 161 202 322 404 421 644 707 842 1414 1684 2069 2323 2828 2947 4138 4646 5894 8276 9292 9683 11788 14483 16261 19366 28966 32522 38732 42521 47587 57932 65044 67781 85042 95174 135562 170084 190348 208969 271124 297647 333109 417938 595294 666218 835876 871049 977983 1190588 1332436 1462783 1742098 1955966 2925566 3484196 3911932 4806287 5851132 6097343 6845881 9612574 12194686 13691762 19225148 20034127 24389372 27383524 33644009 40068254 67288018 80136508 87975949 134576036 140238889 175951898 280477778 351903796 560955556 615831643 1231663286 2023446827 2463326572 4046893654 8093787308 14164127789 28328255578 56656511156