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56755255765 = 51329197152837
BaseRepresentation
bin110100110110111000…
…000111100111010101
312102111101000201102211
4310312320013213111
51412213321141030
642023434033421
74046306466655
oct646670074725
9172441021384
1056755255765
112208495375a
12abbb278871
1354764535a0
142a6597c365
15172296712a
hexd36e079d5

56755255765 has 32 divisors (see below), whose sum is σ = 76260048480. Its totient is φ = 40260670464.

The previous prime is 56755255763. The next prime is 56755255847.

56755255765 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 15457700241 + 41297555524 = 124329^2 + 203218^2 .

It is a cyclic number.

It is not a de Polignac number, because 56755255765 - 21 = 56755255763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56755255763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294927 + ... + 447763.

It is an arithmetic number, because the mean of its divisors is an integer number (2383126515).

Almost surely, 256755255765 is an apocalyptic number.

It is an amenable number.

56755255765 is a deficient number, since it is larger than the sum of its proper divisors (19504792715).

56755255765 is a wasteful number, since it uses less digits than its factorization.

56755255765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153081.

The product of its digits is 55125000, while the sum is 58.

The spelling of 56755255765 in words is "fifty-six billion, seven hundred fifty-five million, two hundred fifty-five thousand, seven hundred sixty-five".

Divisors: 1 5 13 29 65 145 197 377 985 1885 2561 5713 12805 28565 74269 152837 371345 764185 1986881 4432273 9934405 22161365 30108889 57619549 150544445 288097745 391415557 873157781 1957077785 4365788905 11351051153 56755255765