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57369523968 = 2837432383
BaseRepresentation
bin110101011011011111…
…010111011100000000
312111002011212210000000
4311123133113130000
51414443044231333
642204420000000
74100445623241
oct653337273400
9174064783000
1057369523968
112236a667529
12b150b30000
1355437a66b3
142ac339acc8
15175b852713
hexd5b7d7700

57369523968 has 288 divisors, whose sum is σ = 175814087680. Its totient is φ = 18670611456.

The previous prime is 57369523957. The next prime is 57369523969. The reversal of 57369523968 is 86932596375.

57369523968 is a `hidden beast` number, since 573 + 6 + 9 + 52 + 3 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57369523969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24073305 + ... + 24075687.

Almost surely, 257369523968 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 57369523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907043840).

57369523968 is an abundant number, since it is smaller than the sum of its proper divisors (118444563712).

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

57369523968 is an frugal number, since it uses more digits than its factorization.

57369523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2431 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 57369523968 in words is "fifty-seven billion, three hundred sixty-nine million, five hundred twenty-three thousand, nine hundred sixty-eight".