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56527581216 = 2534315787221
BaseRepresentation
bin110100101001010011…
…100111000000100000
312101220111121122200010
4310221103213000200
51411232030044331
641545102124520
74040543340531
oct645123470040
9171814548603
1056527581216
1121a78389477
12ab56b80740
13543b229912
142a43634688
15170c992e46
hexd294e7020

56527581216 has 96 divisors (see below), whose sum is σ = 152804570688. Its totient is φ = 18286894080.

The previous prime is 56527581181. The next prime is 56527581217. The reversal of 56527581216 is 61218572565.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (56527581217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604486 + ... + 691706.

It is an arithmetic number, because the mean of its divisors is an integer number (1591714278).

Almost surely, 256527581216 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 56527581216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76402285344).

56527581216 is an abundant number, since it is smaller than the sum of its proper divisors (96276989472).

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

56527581216 is a wasteful number, since it uses less digits than its factorization.

56527581216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87434 (or 87426 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 48.

The spelling of 56527581216 in words is "fifty-six billion, five hundred twenty-seven million, five hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 157 172 258 314 344 471 516 628 688 942 1032 1256 1376 1884 2064 2512 3768 4128 5024 6751 7536 13502 15072 20253 27004 40506 54008 81012 87221 108016 162024 174442 216032 261663 324048 348884 523326 648096 697768 1046652 1395536 2093304 2791072 3750503 4186608 7501006 8373216 11251509 13693697 15002012 22503018 27387394 30004024 41081091 45006036 54774788 60008048 82162182 90012072 109549576 120016096 164324364 180024144 219099152 328648728 360048288 438198304 588828971 657297456 1177657942 1314594912 1766486913 2355315884 3532973826 4710631768 7065947652 9421263536 14131895304 18842527072 28263790608 56527581216