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57496471032 = 2337211133141269
BaseRepresentation
bin110101100011000011…
…101000010111111000
312111102000202100122010
4311203003220113320
51420223044033112
642225152525520
74103546640300
oct654303502770
9174360670563
1057496471032
1122425293760
12b1875508a0
135563b936c0
142ad61a4600
151767a7b63c
hexd630e85f8

57496471032 has 768 divisors, whose sum is σ = 208496332800. Its totient is φ = 12966912000.

The previous prime is 57496471027. The next prime is 57496471093. The reversal of 57496471032 is 23017469475.

57496471032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×574964710322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213741394 + ... + 213741662.

It is an arithmetic number, because the mean of its divisors is an integer number (271479600).

Almost surely, 257496471032 is an apocalyptic number.

57496471032 is a gapful number since it is divisible by the number (52) 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 57496471032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104248166400).

57496471032 is an abundant number, since it is smaller than the sum of its proper divisors (150999861768).

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

57496471032 is a wasteful number, since it uses less digits than its factorization.

57496471032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 57496471032 in words is "fifty-seven billion, four hundred ninety-six million, four hundred seventy-one thousand, thirty-two".