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137374630785 = 3257436109939
BaseRepresentation
bin111111111110000101…
…0101000001110000001
3111010120212121022020100
41333330022220032001
54222320401141120
6143035315033013
712632162044440
oct1777412501601
9433525538210
10137374630785
1153295441417
122275a59b769
13cc539a8aa2
146912aa4d57
1538904ce490
hex1ffc2a8381

137374630785 has 24 divisors (see below), whose sum is σ = 272132602560. Its totient is φ = 62799831072.

The previous prime is 137374630763. The next prime is 137374630819. The reversal of 137374630785 is 587036473731.

137374630785 is a `hidden beast` number, since 137 + 374 + 63 + 0 + 7 + 85 = 666.

It is not a de Polignac number, because 137374630785 - 26 = 137374630721 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218054655 + ... + 218055284.

It is an arithmetic number, because the mean of its divisors is an integer number (11338858440).

Almost surely, 2137374630785 is an apocalyptic number.

137374630785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137374630785 is a deficient number, since it is larger than the sum of its proper divisors (134757971775).

137374630785 is a wasteful number, since it uses less digits than its factorization.

137374630785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436109957 (or 436109954 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 137374630785 in words is "one hundred thirty-seven billion, three hundred seventy-four million, six hundred thirty thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 436109939 1308329817 2180549695 3052769573 3924989451 6541649085 9158308719 15263847865 19624947255 27474926157 45791543595 137374630785