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57545665344 = 263299905669
BaseRepresentation
bin110101100101111111…
…010010101101000000
312111112110022200112200
4311211333102231000
51420323142242334
642234111153200
74105015041036
oct654577225500
9174473280480
1057545665344
1122450034112
12b19bb15800
13557112916b
142adc92c556
15176c047799
hexd65fd2b40

57545665344 has 42 divisors (see below), whose sum is σ = 164944261170. Its totient is φ = 19181888256.

The previous prime is 57545665337. The next prime is 57545665369. The reversal of 57545665344 is 44356654575.

57545665344 is a `hidden beast` number, since 5 + 7 + 5 + 45 + 66 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57163071744 + 382593600 = 239088^2 + 19560^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49952259 + ... + 49953410.

Almost surely, 257545665344 is an apocalyptic number.

It is an amenable number.

57545665344 is an abundant number, since it is smaller than the sum of its proper divisors (107398595826).

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

57545665344 is a wasteful number, since it uses less digits than its factorization.

57545665344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99905687 (or 99905674 counting only the distinct ones).

The product of its digits is 30240000, while the sum is 54.

The spelling of 57545665344 in words is "fifty-seven billion, five hundred forty-five million, six hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 99905669 199811338 299717007 399622676 599434014 799245352 899151021 1198868028 1598490704 1798302042 2397736056 3196981408 3596604084 4795472112 6393962816 7193208168 9590944224 14386416336 19181888448 28772832672 57545665344