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57753607352 = 237331678943
BaseRepresentation
bin110101110010011000…
…100001110010111000
312112001221121020100112
4311302120201302320
51421234410413402
642310500123452
74113121364000
oct656230416270
9175057536315
1057753607352
1122547451011
12b239696588
1355a523437c
142b1c3bb000
15178041ee52
hexd72621cb8

57753607352 has 64 divisors (see below), whose sum is σ = 130357248000. Its totient is φ = 23953073760.

The previous prime is 57753607343. The next prime is 57753607363. The reversal of 57753607352 is 25370635775.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57753607352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254408 + ... + 424535.

It is an arithmetic number, because the mean of its divisors is an integer number (2036832000).

Almost surely, 257753607352 is an apocalyptic number.

It is an amenable number.

57753607352 is an abundant number, since it is smaller than the sum of its proper divisors (72603640648).

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

57753607352 is a wasteful number, since it uses less digits than its factorization.

57753607352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679001 (or 678983 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 50.

The spelling of 57753607352 in words is "fifty-seven billion, seven hundred fifty-three million, six hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 343 392 434 686 868 1372 1519 1736 2744 3038 6076 10633 12152 21266 42532 85064 678943 1357886 2715772 4752601 5431544 9505202 19010404 21047233 33268207 38020808 42094466 66536414 84188932 133072828 147330631 168377864 232877449 266145656 294661262 465754898 589322524 931509796 1031314417 1178645048 1863019592 2062628834 4125257668 7219200919 8250515336 14438401838 28876803676 57753607352