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57339104256 = 21036710973
BaseRepresentation
bin110101011001101011…
…010100110000000000
312111000001122022000000
4311121223110300000
51414412302314011
642201412000000
74066626226110
oct653153246000
9174001568000
1057339104256
112235447a775
12b142900000
13553a3b5675
142abd31d040
151758d44356
hexd59ad4c00

57339104256 has 308 divisors, whose sum is σ = 196423274832. Its totient is φ = 16381108224.

The previous prime is 57339104233. The next prime is 57339104269. The reversal of 57339104256 is 65240193375.

57339104256 is a `hidden beast` number, since 5 + 7 + 3 + 391 + 0 + 4 + 256 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5219986 + ... + 5230958.

Almost surely, 257339104256 is an apocalyptic number.

57339104256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57339104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98211637416).

57339104256 is an abundant number, since it is smaller than the sum of its proper divisors (139084170576).

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

57339104256 is an equidigital number, since it uses as much as digits as its factorization.

57339104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11018 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 57339104256 in words is "fifty-seven billion, three hundred thirty-nine million, one hundred four thousand, two hundred fifty-six".