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57340848672 = 253422122241
BaseRepresentation
bin110101011001110001…
…111110101000100000
312111000011220220220000
4311121301332220200
51414413224124142
642201513220000
74066650112632
oct653161765040
9174004826800
1057340848672
1122355461338
12b143401600
13553a876673
142abd654a52
15175908b14c
hexd59c7ea20

57340848672 has 60 divisors (see below), whose sum is σ = 168637850766. Its totient is φ = 19113615360.

The previous prime is 57340848667. The next prime is 57340848701. The reversal of 57340848672 is 27684804375.

57340848672 is a `hidden beast` number, since 57 + 3 + 40 + 8 + 486 + 72 = 666.

57340848672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55415043216 + 1925805456 = 235404^2 + 43884^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11058529 + ... + 11063712.

Almost surely, 257340848672 is an apocalyptic number.

It is an amenable number.

57340848672 is an abundant number, since it is smaller than the sum of its proper divisors (111297002094).

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

57340848672 is a wasteful number, since it uses less digits than its factorization.

57340848672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22122263 (or 22122246 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 57340848672 in words is "fifty-seven billion, three hundred forty million, eight hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 22122241 44244482 66366723 88488964 132733446 176977928 199100169 265466892 353955856 398200338 530933784 597300507 707911712 796400676 1061867568 1194601014 1592801352 1791901521 2123735136 2389202028 3185602704 3583803042 4778404056 6371205408 7167606084 9556808112 14335212168 19113616224 28670424336 57340848672