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57376136160 = 2534571933287
BaseRepresentation
bin110101011011111000…
…100101101111100000
312111002122022201020000
4311123320211233200
51420001242324120
642205213420000
74100556052620
oct653370455740
9174078281200
1057376136160
1122373373352
12b15319a600
135544c80235
142ac41dc880
15175c20b990
hexd5be25be0

57376136160 has 480 divisors, whose sum is σ = 243604247040. Its totient is φ = 12423932928.

The previous prime is 57376136123. The next prime is 57376136173. The reversal of 57376136160 is 6163167375.

57376136160 is a `hidden beast` number, since 573 + 7 + 6 + 13 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1707037 + ... + 1740323.

It is an arithmetic number, because the mean of its divisors is an integer number (507508848).

Almost surely, 257376136160 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 57376136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121802123520).

57376136160 is an abundant number, since it is smaller than the sum of its proper divisors (186228110880).

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

57376136160 is a wasteful number, since it uses less digits than its factorization.

57376136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33340 (or 33323 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 57376136160 in words is "fifty-seven billion, three hundred seventy-six million, one hundred thirty-six thousand, one hundred sixty".