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57397695840 = 25325192299161
BaseRepresentation
bin110101011101001010…
…110101010101100000
312111011010220001112200
4311131022311111200
51420022302231330
642211303453200
74101240236052
oct653512652540
9174133801480
1057397695840
1122384559471
12b15a457200
13554958b544
142ac70118d2
15175e069a60
hexd5d2b5560

57397695840 has 288 divisors, whose sum is σ = 207101512800. Its totient is φ = 14435573760.

The previous prime is 57397695811. The next prime is 57397695851. The reversal of 57397695840 is 4859679375.

57397695840 is a `hidden beast` number, since 573 + 9 + 7 + 6 + 9 + 58 + 4 + 0 = 666.

57397695840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6260860 + ... + 6270020.

It is an arithmetic number, because the mean of its divisors is an integer number (719102475).

Almost surely, 257397695840 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 57397695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103550756400).

57397695840 is an abundant number, since it is smaller than the sum of its proper divisors (149703816960).

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

57397695840 is a wasteful number, since it uses less digits than its factorization.

57397695840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

It can be divided in two parts, 5739769 and 5840, that added together give a square (5745609 = 23972).

The spelling of 57397695840 in words is "fifty-seven billion, three hundred ninety-seven million, six hundred ninety-five thousand, eight hundred forty".