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57913132032 = 210337436959
BaseRepresentation
bin110101111011111001…
…000100010000000000
312112111001202221002000
4311323321010100000
51422101230211112
642334355224000
74120066333350
oct657371042000
9175431687060
1057913132032
11226194a9298
12b282ba8000
1355cc2b9682
142b35664b60
15178e4317dc
hexd7be44400

57913132032 has 352 divisors, whose sum is σ = 200599449600. Its totient is φ = 16159481856.

The previous prime is 57913132007. The next prime is 57913132073. The reversal of 57913132032 is 23023131975.

It is a happy number.

57913132032 is a `hidden beast` number, since 57 + 91 + 313 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8318569 + ... + 8325527.

It is an arithmetic number, because the mean of its divisors is an integer number (569884800).

Almost surely, 257913132032 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 57913132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100299724800).

57913132032 is an abundant number, since it is smaller than the sum of its proper divisors (142686317568).

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

57913132032 is a wasteful number, since it uses less digits than its factorization.

57913132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 57913132032 in words is "fifty-seven billion, nine hundred thirteen million, one hundred thirty-two thousand, thirty-two".