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137920260672 = 26321912602363
BaseRepresentation
bin1000000001110010110…
…0000010101001000000
3111011222220022011201200
42000130230002221000
54224430041320142
6143205405501200
712651535605225
oct2003454025100
9434886264650
10137920260672
1153545434207
1222891271800
131000ca490cc
14696533794c
1538c335c64c
hex201cb02a40

137920260672 has 84 divisors (see below), whose sum is σ = 416130059280. Its totient is φ = 43553763072.

The previous prime is 137920260637. The next prime is 137920260701. The reversal of 137920260672 is 276062029731.

137920260672 is a `hidden beast` number, since 1 + 37 + 9 + 2 + 0 + 2 + 606 + 7 + 2 = 666.

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 11 ways as a sum of consecutive naturals, for example, 6290238 + ... + 6312125.

Almost surely, 2137920260672 is an apocalyptic number.

137920260672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137920260672 is an abundant number, since it is smaller than the sum of its proper divisors (278209798608).

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

137920260672 is a wasteful number, since it uses less digits than its factorization.

137920260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12602400 (or 12602387 counting only the distinct ones).

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

The spelling of 137920260672 in words is "one hundred thirty-seven billion, nine hundred twenty million, two hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 12602363 25204726 37807089 50409452 75614178 100818904 113421267 151228356 201637808 226842534 239444897 302456712 403275616 453685068 478889794 604913424 718334691 806551232 907370136 957779588 1209826848 1436669382 1814740272 1915559176 2155004073 2419653696 2873338764 3629480544 3831118352 4310008146 5746677528 7258961088 7662236704 8620016292 11493355056 15324473408 17240032584 22986710112 34480065168 45973420224 68960130336 137920260672