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56801252564 = 2272417068349
BaseRepresentation
bin110100111001100111…
…100101010011010100
312102121120120121011222
4310321213211103110
51412312110040224
642032155545512
74050405452300
oct647147452324
9172546517158
1056801252564
11220a890a841
12b01275b298
135482b39824
142a6bb12d00
151726a00b5e
hexd399e54d4

56801252564 has 36 divisors (see below), whose sum is σ = 118451409300. Its totient is φ = 23749649280.

The previous prime is 56801252537. The next prime is 56801252597. The reversal of 56801252564 is 46525210865.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9237132100 + 47564120464 = 96110^2 + 218092^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3526139 + ... + 3542210.

It is an arithmetic number, because the mean of its divisors is an integer number (3290316925).

Almost surely, 256801252564 is an apocalyptic number.

It is an amenable number.

56801252564 is an abundant number, since it is smaller than the sum of its proper divisors (61650156736).

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

56801252564 is a wasteful number, since it uses less digits than its factorization.

56801252564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068408 (or 7068399 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 56801252564 in words is "fifty-six billion, eight hundred one million, two hundred fifty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 4018 8036 7068349 14136698 28273396 49478443 98956886 197913772 289802309 346349101 579604618 692698202 1159209236 1385396404 2028616163 4057232326 8114464652 14200313141 28400626282 56801252564