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131638167038 = 2738324550199
BaseRepresentation
bin111101010011000111…
…1110000010111111110
3110120210002102202100002
41322212033300113332
54124043332321123
6140250154434302
712340054646360
oct1724617602776
9416702382302
10131638167038
115091134a294
1221619432992
13c54b3b1a41
14652ac96d30
153656aa1528
hex1ea63f05fe

131638167038 has 16 divisors (see below), whose sum is σ = 226254643200. Its totient is φ = 56269053816.

The previous prime is 131638166993. The next prime is 131638167107. The reversal of 131638167038 is 830761836131.

It is a super-2 number, since 2×1316381670382 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131638166983 and 131638167001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12269738 + ... + 12280461.

It is an arithmetic number, because the mean of its divisors is an integer number (14140915200).

Almost surely, 2131638167038 is an apocalyptic number.

131638167038 is a deficient number, since it is larger than the sum of its proper divisors (94616476162).

131638167038 is a wasteful number, since it uses less digits than its factorization.

131638167038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24550591.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 131638167038 in words is "one hundred thirty-one billion, six hundred thirty-eight million, one hundred sixty-seven thousand, thirty-eight".

Divisors: 1 2 7 14 383 766 2681 5362 24550199 49100398 171851393 343702786 9402726217 18805452434 65819083519 131638167038