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131782150047285 = 3256607443240839
BaseRepresentation
bin11101111101101011101100…
…001111011100011000110101
3122021121020202121201220101200
4131331223230033130120311
5114233104320403003120
61144135514534243113
736520642346155203
oct3575535417343065
9567536677656350
10131782150047285
1138a9855016a181
121294431b4b6499
13586c0076b439a
14247840c03c073
151037e51ed6e90
hex77daec3dc635

131782150047285 has 24 divisors (see below), whose sum is σ = 228456966716160. Its totient is φ = 70273175419872.

The previous prime is 131782150047283. The next prime is 131782150047323. The reversal of 131782150047285 is 582740051287131.

131782150047285 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 82 + 15 + 0 + 0 + 472 + 85 = 666.

It is not a de Polignac number, because 131782150047285 - 21 = 131782150047283 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131782150047283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221323105 + ... + 221917734.

It is an arithmetic number, because the mean of its divisors is an integer number (9519040279840).

Almost surely, 2131782150047285 is an apocalyptic number.

131782150047285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131782150047285 is a deficient number, since it is larger than the sum of its proper divisors (96674816668875).

131782150047285 is a wasteful number, since it uses less digits than its factorization.

131782150047285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443247457 (or 443247454 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 131782150047285 in words is "one hundred thirty-one trillion, seven hundred eighty-two billion, one hundred fifty million, forty-seven thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 45 6607 19821 33035 59463 99105 297315 443240839 1329722517 2216204195 3989167551 6648612585 19945837755 2928492223273 8785476669819 14642461116365 26356430009457 43927383349095 131782150047285