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13722696768 = 263118378283
BaseRepresentation
bin11001100011110111…
…11011110001000000
31022102100200020001110
430301323323301000
5211101002244033
610145405003320
7664026666204
oct146173736100
938370606043
1013722696768
115902117210
1227ab853540
1313a9029b21
14942730b04
15554b09363
hex331efbc40

13722696768 has 112 divisors (see below), whose sum is σ = 40086418176. Its totient is φ = 4108239360.

The previous prime is 13722696739. The next prime is 13722696791. The reversal of 13722696768 is 86769622731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136155 + ... + 214437.

It is an arithmetic number, because the mean of its divisors is an integer number (357914448).

Almost surely, 213722696768 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 13722696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20043209088).

13722696768 is an abundant number, since it is smaller than the sum of its proper divisors (26363721408).

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

13722696768 is a wasteful number, since it uses less digits than its factorization.

13722696768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78392 (or 78382 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The spelling of 13722696768 in words is "thirteen billion, seven hundred twenty-two million, six hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 166 176 192 249 264 332 352 498 528 664 704 913 996 1056 1328 1826 1992 2112 2656 2739 3652 3984 5312 5478 7304 7968 10956 14608 15936 21912 29216 43824 58432 78283 87648 156566 175296 234849 313132 469698 626264 861113 939396 1252528 1722226 1878792 2505056 2583339 3444452 3757584 5010112 5166678 6497489 6888904 7515168 10333356 12994978 13777808 15030336 19492467 20666712 25989956 27555616 38984934 41333424 51979912 55111232 71472379 77969868 82666848 103959824 142944758 155939736 165333696 207919648 214417137 285889516 311879472 415839296 428834274 571779032 623758944 857668548 1143558064 1247517888 1715337096 2287116128 3430674192 4574232256 6861348384 13722696768