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57400669440 = 283452324071
BaseRepresentation
bin110101011101010110…
…001011010100000000
312111011100111010120000
4311131112023110000
51420024032410230
642211451320000
74101304432332
oct653526132400
9174140433500
1057400669440
11223861aa594
12b15b450000
13554a08cb7a
142ac7587452
15175e455b60
hexd5d58b500

57400669440 has 360 divisors, whose sum is σ = 214328999808. Its totient is φ = 14640721920.

The previous prime is 57400669423. The next prime is 57400669451. The reversal of 57400669440 is 4496600475.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2372605 + ... + 2396675.

Almost surely, 257400669440 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 57400669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107164499904).

57400669440 is an abundant number, since it is smaller than the sum of its proper divisors (156928330368).

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

57400669440 is a wasteful number, since it uses less digits than its factorization.

57400669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24127 (or 24104 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 57400669440 in words is "fifty-seven billion, four hundred million, six hundred sixty-nine thousand, four hundred forty".