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131449085728 = 253124274489
BaseRepresentation
bin111101001101011111…
…0011101111100100000
3110120021220122102112121
41322122332131330200
54123201431220403
6140215322034024
712332300536042
oct1723276357440
9416256572477
10131449085728
1150824644744
1221586048914
13c51b17b4cc
14650db17a92
1536451a23bd
hex1e9af9df20

131449085728 has 36 divisors (see below), whose sum is σ = 267407819910. Its totient is φ = 63604381440.

The previous prime is 131449085707. The next prime is 131449085809. The reversal of 131449085728 is 827580944131.

It can be written as a sum of positive squares in only one way, i.e., 126915487504 + 4533598224 = 356252^2 + 67332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2106493 + ... + 2167996.

Almost surely, 2131449085728 is an apocalyptic number.

It is an amenable number.

131449085728 is an abundant number, since it is smaller than the sum of its proper divisors (135958734182).

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

131449085728 is an equidigital number, since it uses as much as digits as its factorization.

131449085728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274561 (or 4274522 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 131449085728 in words is "one hundred thirty-one billion, four hundred forty-nine million, eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 3844 7688 15376 30752 4274489 8548978 17097956 34195912 68391824 132509159 136783648 265018318 530036636 1060073272 2120146544 4107783929 4240293088 8215567858 16431135716 32862271432 65724542864 131449085728