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56560528000 = 27533535033
BaseRepresentation
bin110100101011010001…
…010010101010000000
312101222210121112011101
4310223101102222000
51411313443344000
641552240224144
74041423361354
oct645321225200
9171883545141
1056560528000
1121a94a41919
12ab6600b054
135444cc3c62
142a47b6d464
1517107eee6a
hexd2b452a80

56560528000 has 64 divisors (see below), whose sum is σ = 140623652520. Its totient is φ = 22624204800.

The previous prime is 56560527997. The next prime is 56560528001. The reversal of 56560528000 is 82506565.

It can be written as a sum of positive squares in 4 ways, for example, as 27188052544 + 29372475456 = 164888^2 + 171384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (56560528001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1751517 + ... + 1783516.

Almost surely, 256560528000 is an apocalyptic number.

56560528000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56560528000 is an abundant number, since it is smaller than the sum of its proper divisors (84063124520).

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

56560528000 is an equidigital number, since it uses as much as digits as its factorization.

56560528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535062 (or 3535040 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 56560528000 in words is "fifty-six billion, five hundred sixty million, five hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 3535033 7070066 14140132 17675165 28280264 35350330 56560528 70700660 88375825 113121056 141401320 176751650 226242112 282802640 353503300 441879125 452484224 565605280 707006600 883758250 1131210560 1414013200 1767516500 2262421120 2828026400 3535033000 5656052800 7070066000 11312105600 14140132000 28280264000 56560528000