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57089061729 = 3277915773061
BaseRepresentation
bin110101001010110001…
…011111001101100001
312110100122010211010200
4311022301133031201
51413404244433404
642120520415413
74060502006130
oct651261371541
9173318124120
1057089061729
1122236318057
12b093017569
1354ca6597cb
142a98031917
151741e02839
hexd4ac5f361

57089061729 has 48 divisors (see below), whose sum is σ = 96044382720. Its totient is φ = 32003786880.

The previous prime is 57089061709. The next prime is 57089061763. The reversal of 57089061729 is 92716098075.

57089061729 is a `hidden beast` number, since 570 + 8 + 9 + 0 + 61 + 7 + 2 + 9 = 666.

It is not a de Polignac number, because 57089061729 - 25 = 57089061697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57089061709) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 744859 + ... + 817919.

It is an arithmetic number, because the mean of its divisors is an integer number (2000924640).

Almost surely, 257089061729 is an apocalyptic number.

It is an amenable number.

57089061729 is a deficient number, since it is larger than the sum of its proper divisors (38955320991).

57089061729 is a wasteful number, since it uses less digits than its factorization.

57089061729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73310 (or 73307 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 57089061729 in words is "fifty-seven billion, eighty-nine million, sixty-one thousand, seven hundred twenty-nine".

Divisors: 1 3 7 9 21 63 79 157 237 471 553 711 1099 1413 1659 3297 4977 9891 12403 37209 73061 86821 111627 219183 260463 511427 657549 781389 1534281 4602843 5771819 11470577 17315457 34411731 40402733 51946371 80294039 103235193 121208199 240882117 363624597 722646351 906175583 2718526749 6343229081 8155580247 19029687243 57089061729