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57596869344 = 25371912793527
BaseRepresentation
bin110101101001000010…
…100111101011100000
312111200000200010020010
4311221002213223200
51420424244304334
642243140444520
74106206211610
oct655102475340
9174600603203
1057596869344
1122476a27473
12b1b50a9740
13557b9165a1
142b0565aa40
1517717ae0e9
hexd690a7ae0

57596869344 has 192 divisors, whose sum is σ = 182078668800. Its totient is φ = 15573523968.

The previous prime is 57596869339. The next prime is 57596869357. The reversal of 57596869344 is 44396869575.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16328509 + ... + 16332035.

It is an arithmetic number, because the mean of its divisors is an integer number (948326400).

Almost surely, 257596869344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57596869344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91039334400).

57596869344 is an abundant number, since it is smaller than the sum of its proper divisors (124481799456).

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

57596869344 is a wasteful number, since it uses less digits than its factorization.

57596869344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4837 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 66.

The spelling of 57596869344 in words is "fifty-seven billion, five hundred ninety-six million, eight hundred sixty-nine thousand, three hundred forty-four".