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137170385037 = 337314811617
BaseRepresentation
bin111111110111111111…
…1011111100010001101
3111010001122021112202000
41333233333133202031
54221411104310122
6143003141222513
712624132015000
oct1775777374215
9433048245660
10137170385037
11531a0119584
1222702101a39
13cc2059610a
1468d38d9537
15387c5d70ac
hex1feffdf88d

137170385037 has 32 divisors (see below), whose sum is σ = 236985888000. Its totient is φ = 78383071872.

The previous prime is 137170385021. The next prime is 137170385041. The reversal of 137170385037 is 730583071731.

137170385037 is a `hidden beast` number, since 1 + 3 + 71 + 70 + 3 + 8 + 503 + 7 = 666.

It is not a de Polignac number, because 137170385037 - 24 = 137170385021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137170384983 and 137170385001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137170385047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7396548 + ... + 7415069.

It is an arithmetic number, because the mean of its divisors is an integer number (7405809000).

Almost surely, 2137170385037 is an apocalyptic number.

It is an amenable number.

137170385037 is a deficient number, since it is larger than the sum of its proper divisors (99815502963).

137170385037 is an equidigital number, since it uses as much as digits as its factorization.

137170385037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14811647 (or 14811627 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 137170385037 in words is "one hundred thirty-seven billion, one hundred seventy million, three hundred eighty-five thousand, thirty-seven".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 14811617 44434851 103681319 133304553 311043957 399913659 725769233 933131871 2177307699 2799395613 5080384631 6531923097 15241153893 19595769291 45723461679 137170385037