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137369241072 = 24327136279009
BaseRepresentation
bin111111111101111011…
…0000100010111110000
3111010120111110110221100
41333323312010113300
54222313011203242
6143035003324400
712632065166130
oct1777366042760
9433514413840
10137369241072
11532923a0008
1222758820700
13cc5283c7cb
1469120a0ac0
15388ecb754c
hex1ffbd845f0

137369241072 has 60 divisors (see below), whose sum is σ = 439363528240. Its totient is φ = 39248354304.

The previous prime is 137369241017. The next prime is 137369241101. The reversal of 137369241072 is 270142963731.

137369241072 is a `hidden beast` number, since 13 + 73 + 6 + 92 + 410 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68138497 + ... + 68140512.

Almost surely, 2137369241072 is an apocalyptic number.

137369241072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137369241072 is an abundant number, since it is smaller than the sum of its proper divisors (301994287168).

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

137369241072 is a wasteful number, since it uses less digits than its factorization.

137369241072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136279030 (or 136279021 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 137369241072 in words is "one hundred thirty-seven billion, three hundred sixty-nine million, two hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 136279009 272558018 408837027 545116036 817674054 953953063 1090232072 1226511081 1635348108 1907906126 2180464144 2453022162 2861859189 3270696216 3815812252 4906044324 5723718378 6541392432 7631624504 8585577567 9812088648 11447436756 15263249008 17171155134 19624177296 22894873512 34342310268 45789747024 68684620536 137369241072