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57956023008 = 253213172291847
BaseRepresentation
bin110101111110011100…
…101011101011100000
312112121001111000102200
4311332130223223200
51422143220214013
642342530413200
74121130032052
oct657634535340
9175531430380
1057956023008
1122640733984
12b295431200
135608156050
142b3b22b8d2
1517930a4e73
hexd7e72bae0

57956023008 has 432 divisors, whose sum is σ = 195152237280. Its totient is φ = 16196124672.

The previous prime is 57956023003. The next prime is 57956023033. The reversal of 57956023008 is 80032065975.

It is a happy number.

57956023008 is a `hidden beast` number, since 5 + 7 + 9 + 5 + 602 + 30 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57956023003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31377541 + ... + 31379387.

It is an arithmetic number, because the mean of its divisors is an integer number (451741290).

Almost surely, 257956023008 is an apocalyptic number.

57956023008 is a gapful number since it is divisible by the number (58) 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 57956023008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97576118640).

57956023008 is an abundant number, since it is smaller than the sum of its proper divisors (137196214272).

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

57956023008 is a wasteful number, since it uses less digits than its factorization.

57956023008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 57956023008 in words is "fifty-seven billion, nine hundred fifty-six million, twenty-three thousand, eight".