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12634663896 = 23321312714943
BaseRepresentation
bin10111100010001010…
…11010101111011000
31012121112100102112200
423301011122233120
5201333433221041
65445420410200
7625045604541
oct136105325730
935545312480
1012634663896
1153a3a35a98
1225473a6960
1312647a91aa
1487c0294c8
154de3391b6
hex2f115abd8

12634663896 has 96 divisors (see below), whose sum is σ = 34614328320. Its totient is φ = 4163140800.

The previous prime is 12634663889. The next prime is 12634663901. The reversal of 12634663896 is 69836643621.

12634663896 is a `hidden beast` number, since 1 + 2 + 63 + 466 + 38 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2553601 + ... + 2558543.

It is an arithmetic number, because the mean of its divisors is an integer number (360565920).

Almost surely, 212634663896 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 12634663896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307164160).

12634663896 is an abundant number, since it is smaller than the sum of its proper divisors (21979664424).

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

12634663896 is a wasteful number, since it uses less digits than its factorization.

12634663896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5357 (or 5350 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 12634663896 in words is "twelve billion, six hundred thirty-four million, six hundred sixty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 271 393 524 542 786 813 1048 1084 1179 1572 1626 2168 2358 2439 3144 3252 4716 4878 4943 6504 9432 9756 9886 14829 19512 19772 29658 35501 39544 44487 59316 71002 88974 106503 118632 142004 177948 213006 284008 319509 355896 426012 639018 647533 852024 1278036 1295066 1339553 1942599 2556072 2590132 2679106 3885198 4018659 5180264 5358212 5827797 7770396 8037318 10716424 11655594 12055977 15540792 16074636 23311188 24111954 32149272 46622376 48223908 96447816 175481443 350962886 526444329 701925772 1052888658 1403851544 1579332987 2105777316 3158665974 4211554632 6317331948 12634663896