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12965938029 = 3411171945053
BaseRepresentation
bin11000001001101010…
…01000001101101101
31020110121200220020000
430010311020031231
5203023240004104
65542333014513
7636210440412
oct140465101555
936417626200
1012965938029
115553a30170
12261a324439
1312b8306ba5
148b0020109
1550d474639
hex304d4836d

12965938029 has 80 divisors (see below), whose sum is σ = 23550626880. Its totient is φ = 7006487040.

The previous prime is 12965938003. The next prime is 12965938039. The reversal of 12965938029 is 92083956921.

It is a happy number.

12965938029 is a `hidden beast` number, since 1 + 29 + 6 + 593 + 8 + 0 + 29 = 666.

It is not a de Polignac number, because 12965938029 - 212 = 12965933933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12965938039) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 265267 + ... + 310319.

It is an arithmetic number, because the mean of its divisors is an integer number (294382836).

Almost surely, 212965938029 is an apocalyptic number.

12965938029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12965938029 is a deficient number, since it is larger than the sum of its proper divisors (10584688851).

12965938029 is a wasteful number, since it uses less digits than its factorization.

12965938029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45112 (or 45103 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 12965938029 in words is "twelve billion, nine hundred sixty-five million, nine hundred thirty-eight thousand, twenty-nine".

Divisors: 1 3 9 11 17 19 27 33 51 57 81 99 153 171 187 209 297 323 459 513 561 627 891 969 1377 1539 1683 1881 2907 3553 5049 5643 8721 10659 15147 16929 26163 31977 45053 95931 135159 287793 405477 495583 765901 856007 1216431 1486749 2297703 2568021 3649293 4460247 6893109 7704063 8424911 9416077 13380741 14552119 20679327 23112189 25274733 28248231 40142223 43656357 62037981 69336567 75824199 84744693 130969071 160073309 227472597 254234079 392907213 480219927 682417791 762702237 1178721639 1440659781 4321979343 12965938029