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12831760136 = 2313376771701
BaseRepresentation
bin10111111001101010…
…10001111100001000
31020010021012221202102
423330311101330020
5202234412311021
65521141052532
7632661106256
oct137465217410
936107187672
1012831760136
115495215348
1225a13b7148
1312965878a0
1489a2935d6
155017bd00b
hex2fcd51f08

12831760136 has 128 divisors (see below), whose sum is σ = 27427196160. Its totient is φ = 5588352000.

The previous prime is 12831760133. The next prime is 12831760153. The reversal of 12831760136 is 63106713821.

It is a self number, because there is not a number n which added to its sum of digits gives 12831760136.

It is not an unprimeable number, because it can be changed into a prime (12831760133) 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, 18304586 + ... + 18305286.

It is an arithmetic number, because the mean of its divisors is an integer number (214274970).

Almost surely, 212831760136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12831760136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713598080).

12831760136 is an abundant number, since it is smaller than the sum of its proper divisors (14595436024).

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

12831760136 is a wasteful number, since it uses less digits than its factorization.

12831760136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 12831760136 in words is "twelve billion, eight hundred thirty-one million, seven hundred sixty thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 37 52 67 71 74 104 134 142 148 268 284 296 481 536 568 701 871 923 962 1402 1742 1846 1924 2479 2627 2804 3484 3692 3848 4757 4958 5254 5608 6968 7384 9113 9514 9916 10508 18226 19028 19832 21016 25937 32227 34151 36452 38056 46967 49771 51874 61841 64454 68302 72904 93934 99542 103748 123682 128908 136604 176009 187868 199084 207496 247364 257816 273208 337181 352018 375736 398168 494728 610571 647023 674362 704036 1221142 1294046 1348724 1408072 1737779 1841527 2288117 2442284 2588092 2697448 3334657 3475558 3683054 4576234 4884568 5176184 6669314 6951116 7366108 9152468 13338628 13902232 14732216 18304936 22591127 23939851 26677256 43350541 45182254 47879702 86701082 90364508 95759404 123382309 173402164 180729016 191518808 246764618 346804328 493529236 987058472 1603970017 3207940034 6415880068 12831760136