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137688659208 = 23325413534829
BaseRepresentation
bin1000000000111011100…
…0100011010100001000
3111011101202111121020200
42000032320203110020
54223441244043313
6143130413452200
712643024202262
oct2001670432410
9434352447220
10137688659208
1153436727641
12228277a1060
13cca3a78c19
14694268ab32
1538acd5eb73
hex200ee23508

137688659208 has 48 divisors (see below), whose sum is σ = 373596182700. Its totient is φ = 45811370880.

The previous prime is 137688659191. The next prime is 137688659219. The reversal of 137688659208 is 802956886731.

137688659208 is a `hidden beast` number, since 1 + 37 + 6 + 8 + 8 + 6 + 592 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135440192484 + 2248466724 = 368022^2 + 47418^2 .

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 11 ways as a sum of consecutive naturals, for example, 1728463 + ... + 1806366.

Almost surely, 2137688659208 is an apocalyptic number.

137688659208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137688659208 is an abundant number, since it is smaller than the sum of its proper divisors (235907523492).

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

137688659208 is a wasteful number, since it uses less digits than its factorization.

137688659208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535382 (or 3535375 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 137688659208 in words is "one hundred thirty-seven billion, six hundred eighty-eight million, six hundred fifty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 541 1082 1623 2164 3246 4328 4869 6492 9738 12984 19476 38952 3534829 7069658 10604487 14139316 21208974 28278632 31813461 42417948 63626922 84835896 127253844 254507688 1912342489 3824684978 5737027467 7649369956 11474054934 15298739912 17211082401 22948109868 34422164802 45896219736 68844329604 137688659208