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2157286656681 = 35133122029089
BaseRepresentation
bin11111011001001000010…
…011100000101010101001
321122020100000102212200000
4133121020103200222221
5240321110341003211
64331013243533213
7311600401012242
oct37311023405251
97566300385600
102157286656681
1176199a093a52
122aa11ab2a209
1312857b624cb0
14765adc99cc9
153b1b164b656
hex1f6484e0aa9

2157286656681 has 48 divisors (see below), whose sum is σ = 3592327764480. Its totient is φ = 1284736412160.

The previous prime is 2157286656661. The next prime is 2157286656689. The reversal of 2157286656681 is 1866566827512.

2157286656681 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 2 + 8 + 66 + 566 + 8 + 1 = 666.

It is not a de Polignac number, because 2157286656681 - 226 = 2157219547817 is a prime.

It is a super-2 number, since 2×21572866566812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2157286656689) 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, 10916616 + ... + 11112473.

It is an arithmetic number, because the mean of its divisors is an integer number (74840161760).

Almost surely, 22157286656681 is an apocalyptic number.

It is an amenable number.

2157286656681 is a deficient number, since it is larger than the sum of its proper divisors (1435041107799).

2157286656681 is a wasteful number, since it uses less digits than its factorization.

2157286656681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22029148 (or 22029136 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 2157286656681 in words is "two trillion, one hundred fifty-seven billion, two hundred eighty-six million, six hundred fifty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 13 27 31 39 81 93 117 243 279 351 403 837 1053 1209 2511 3159 3627 7533 10881 32643 97929 22029089 66087267 198261801 286378157 594785403 682901759 859134471 1784356209 2048705277 2577403413 5353068627 6146115831 7732210239 8877722867 18438347493 23196630717 26633168601 55315042479 69589892151 79899505803 165945127437 239698517409 719095552227 2157286656681