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137525015264 = 2571347226997
BaseRepresentation
bin1000000000010100100…
…0010011001011100000
3111010222100120121221212
42000011020103023200
54223122400442024
6143102250205252
712635666225240
oct2000510231340
9433870517855
10137525015264
115336231650a
12227a0a23828
13cc78bb09a0
146928a4db20
15389d7d7a0e
hex20052132e0

137525015264 has 48 divisors (see below), whose sum is σ = 333233697888. Its totient is φ = 54405499392.

The previous prime is 137525015249. The next prime is 137525015273. The reversal of 137525015264 is 462510525731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23610587 + ... + 23616410.

It is an arithmetic number, because the mean of its divisors is an integer number (6942368706).

Almost surely, 2137525015264 is an apocalyptic number.

137525015264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137525015264 is an abundant number, since it is smaller than the sum of its proper divisors (195708682624).

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

137525015264 is a wasteful number, since it uses less digits than its factorization.

137525015264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47227027 (or 47227019 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 137525015264 in words is "one hundred thirty-seven billion, five hundred twenty-five million, fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 47226997 94453994 188907988 330588979 377815976 613950961 661177958 755631952 1227901922 1322355916 1511263904 2455803844 2644711832 4297656727 4911607688 5289423664 8595313454 9823215376 10578847328 17190626908 19646430752 34381253816 68762507632 137525015264