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57539435364 = 22321598317649
BaseRepresentation
bin110101100101100111…
…100001101101100100
312111112000121011121200
4311211213201231210
51420320043412424
642233325442500
74104611062605
oct654547415544
9174460534550
1057539435364
1122447569474
12b199a10430
13556ca57598
142adbb89dac
15176b7168c9
hexd659e1b64

57539435364 has 18 divisors (see below), whose sum is σ = 145446906150. Its totient is φ = 19179811776.

The previous prime is 57539435321. The next prime is 57539435399. The reversal of 57539435364 is 46353493575.

57539435364 is a `hidden beast` number, since 5 + 7 + 539 + 43 + 5 + 3 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51044364900 + 6495070464 = 225930^2 + 80592^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 57539435364.

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 5 ways as a sum of consecutive naturals, for example, 799158789 + ... + 799158860.

It is an arithmetic number, because the mean of its divisors is an integer number (8080383675).

Almost surely, 257539435364 is an apocalyptic number.

It is an amenable number.

57539435364 is an abundant number, since it is smaller than the sum of its proper divisors (87907470786).

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

57539435364 is a wasteful number, since it uses less digits than its factorization.

57539435364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598317659 (or 1598317654 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 54.

The spelling of 57539435364 in words is "fifty-seven billion, five hundred thirty-nine million, four hundred thirty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1598317649 3196635298 4794952947 6393270596 9589905894 14384858841 19179811788 28769717682 57539435364