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56724442765 = 5531901112601
BaseRepresentation
bin110100110101000010…
…100100111010001101
312102102020001020221121
4310311002210322031
51412132424132030
642020413400541
74045453544104
oct646502447215
9172366036847
1056724442765
1122069518471
12abb0a99151
13546cc55543
142a6183b03b
15171edcc47a
hexd350a4e8d

56724442765 has 16 divisors (see below), whose sum is σ = 69390757296. Its totient is φ = 44499520000.

The previous prime is 56724442763. The next prime is 56724442769.

56724442765 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 757185289 + 55967257476 = 27517^2 + 236574^2 .

It is not a de Polignac number, because 56724442765 - 21 = 56724442763 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56724442763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447465 + ... + 560065.

It is an arithmetic number, because the mean of its divisors is an integer number (4336922331).

Almost surely, 256724442765 is an apocalyptic number.

It is an amenable number.

56724442765 is a deficient number, since it is larger than the sum of its proper divisors (12666314531).

56724442765 is a wasteful number, since it uses less digits than its factorization.

56724442765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114560.

The product of its digits is 11289600, while the sum is 52.

The spelling of 56724442765 in words is "fifty-six billion, seven hundred twenty-four million, four hundred forty-two thousand, seven hundred sixty-five".

Divisors: 1 5 53 265 1901 9505 100753 112601 503765 563005 5967853 29839265 214054501 1070272505 11344888553 56724442765