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57358264320 = 21135573789
BaseRepresentation
bin110101011010110100…
…011010100000000000
312111001101200201200000
4311122310122200000
51414432203424240
642203334400000
74100251126260
oct653264324000
9174041621600
1057358264320
1122364276a35
12b149200000
135541363696
142ac1aa97a0
15175a87b430
hexd5ad1a800

57358264320 has 1152 divisors, whose sum is σ = 244693612800. Its totient is φ = 12612796416.

The previous prime is 57358264319. The next prime is 57358264373. The reversal of 57358264320 is 2346285375.

57358264320 is a `hidden beast` number, since 5 + 7 + 3 + 582 + 6 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 644474836 + ... + 644474924.

It is an arithmetic number, because the mean of its divisors is an integer number (212407650).

Almost surely, 257358264320 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 57358264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122346806400).

57358264320 is an abundant number, since it is smaller than the sum of its proper divisors (187335348480).

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

57358264320 is an equidigital number, since it uses as much as digits as its factorization.

57358264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 57358264320 in words is "fifty-seven billion, three hundred fifty-eight million, two hundred sixty-four thousand, three hundred twenty".