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138113032785 = 35713432353063
BaseRepresentation
bin1000000010100000101…
…1011010001001010001
3111012111100001000100120
42000220023122021101
54230323414022120
6143240453340453
712656366260110
oct2005013321121
9435440030316
10138113032785
115363422a802
1222925937729
1310040972550
146982b97c77
1538d523a140
hex20282da251

138113032785 has 64 divisors (see below), whose sum is σ = 278301585408. Its totient is φ = 56925275904.

The previous prime is 138113032777. The next prime is 138113032807. The reversal of 138113032785 is 587230311831.

It is a happy number.

It is not a de Polignac number, because 138113032785 - 23 = 138113032777 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 1117837 + ... + 1235226.

It is an arithmetic number, because the mean of its divisors is an integer number (4348462272).

Almost surely, 2138113032785 is an apocalyptic number.

138113032785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138113032785 is an abundant number, since it is smaller than the sum of its proper divisors (140188552623).

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

138113032785 is a wasteful number, since it uses less digits than its factorization.

138113032785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353134.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 138113032785 in words is "one hundred thirty-eight billion, one hundred thirteen million, thirty-two thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 43 65 91 105 129 195 215 273 301 455 559 645 903 1365 1505 1677 2795 3913 4515 8385 11739 19565 58695 2353063 7059189 11765315 16471441 30589819 35295945 49414323 82357205 91769457 101181709 152949095 214128733 247071615 303545127 458847285 505908545 642386199 708271963 1070643665 1315362217 1517725635 2124815889 3211930995 3541359815 3946086651 6576811085 9207535519 10624079445 19730433255 27622606557 46037677595 138113032785