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137685900810 = 23542831071569
BaseRepresentation
bin1000000000111010111…
…0000001111000001010
3111011101120022110102210
42000032232001320022
54223440042311220
6143130234405550
712642661563303
oct2001656017012
9434346273383
10137685900810
1153435113177
12228268908b6
13cca3321533
14694216d7aa
1538ac9b76e0
hex200eb81e0a

137685900810 has 32 divisors (see below), whose sum is σ = 330523623360. Its totient is φ = 36707633408.

The previous prime is 137685900809. The next prime is 137685900817. The reversal of 137685900810 is 18009586731.

It is a super-2 number, since 2×1376859008102 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137685900810.

It is not an unprimeable number, because it can be changed into a prime (137685900817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407295 + ... + 664274.

It is an arithmetic number, because the mean of its divisors is an integer number (10328863230).

Almost surely, 2137685900810 is an apocalyptic number.

137685900810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137685900810 is an abundant number, since it is smaller than the sum of its proper divisors (192837722550).

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

137685900810 is a wasteful number, since it uses less digits than its factorization.

137685900810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075862.

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 137685900810 in words is "one hundred thirty-seven billion, six hundred eighty-five million, nine hundred thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 4283 8566 12849 21415 25698 42830 64245 128490 1071569 2143138 3214707 5357845 6429414 10715690 16073535 32147070 4589530027 9179060054 13768590081 22947650135 27537180162 45895300270 68842950405 137685900810