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137652893352 = 233213791861583
BaseRepresentation
bin1000000000110011000…
…0000111011010101000
3111011022021012111201100
42000030300013122220
54223403120041402
6143123055121400
712642111200532
oct2001460073250
9434267174640
10137652893352
1153418519187
1222817813260
13cc995356b0
14693ba1a852
1538a9b4771c
hex200cc076a8

137652893352 has 96 divisors (see below), whose sum is σ = 406569945600. Its totient is φ = 41818578048.

The previous prime is 137652893309. The next prime is 137652893369. The reversal of 137652893352 is 253398256731.

137652893352 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 5 + 289 + 3 + 352 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856848 + ... + 1004735.

It is an arithmetic number, because the mean of its divisors is an integer number (4235103600).

Almost surely, 2137652893352 is an apocalyptic number.

137652893352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137652893352 is an abundant number, since it is smaller than the sum of its proper divisors (268917052248).

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

137652893352 is a wasteful number, since it uses less digits than its factorization.

137652893352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861687 (or 1861680 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 137652893352 in words is "one hundred thirty-seven billion, six hundred fifty-two million, eight hundred ninety-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 316 468 474 632 711 936 948 1027 1422 1896 2054 2844 3081 4108 5688 6162 8216 9243 12324 18486 24648 36972 73944 1861583 3723166 5584749 7446332 11169498 14892664 16754247 22338996 24200579 33508494 44677992 48401158 67016988 72601737 96802316 134033976 145203474 147065057 193604632 217805211 290406948 294130114 435610422 441195171 580813896 588260228 871220844 882390342 1176520456 1323585513 1742441688 1764780684 1911845741 2647171026 3529561368 3823691482 5294342052 5735537223 7647382964 10588684104 11471074446 15294765928 17206611669 22942148892 34413223338 45884297784 68826446676 137652893352