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57465587327236 = 22112172202692
BaseRepresentation
bin11010001000011101111111…
…11010110110000100000100
321112110122201120211001022221
431010032333322312010010
530013004010323432421
6322115154255102124
715050515552602664
oct1504167772660404
9245418646731287
1057465587327236
1117346022a15500
126541270b11944
13260ac9b854cba
1410294c65621a4
15699c29c79841
hex3443bfeb6104

57465587327236 has 81 divisors (see below), whose sum is σ = 117428666434527. Its totient is φ = 24582995585280.

The previous prime is 57465587327179. The next prime is 57465587327299. The reversal of 57465587327236 is 63272378556475.

The square root of 57465587327236 is 7580606.

It is a perfect power (a square), and thus also a powerful number.

57465587327236 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 4 ways, for example, as 17473319612100 + 39992267715136 = 4180110^2 + 6323944^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2835136510 + ... + 2835156778.

Almost surely, 257465587327236 is an apocalyptic number.

57465587327236 is the 7580606-th square number.

It is an amenable number.

57465587327236 is an abundant number, since it is smaller than the sum of its proper divisors (59963079107291).

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

57465587327236 is an equidigital number, since it uses as much as digits as its factorization.

57465587327236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40598 (or 20299 counting only the distinct ones).

The product of its digits is 1778112000, while the sum is 70.

The spelling of 57465587327236 in words is "fifty-seven trillion, four hundred sixty-five billion, five hundred eighty-seven million, three hundred twenty-seven thousand, two hundred thirty-six".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 748 1156 2057 3179 4114 6358 8228 12716 20269 34969 40538 69938 81076 139876 222959 344573 445918 689146 891836 1378292 2452549 3790303 4905098 5857741 7580606 9810196 11715482 15161212 23430964 41693333 64435151 83386666 128870302 166773332 257740604 410832361 708786661 821664722 1417573322 1643329444 2835146644 4519155971 6984150137 9038311942 13968300274 18076623884 27936600548 49710715681 76825651507 99421431362 118730552329 153651303014 198842862724 237461104658 307302606028 474922209316 845082166577 1306036075619 1690164333154 2612072151238 3380328666308 5224144302476 14366396831809 28732793663618 57465587327236