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12156993216 = 263417137947
BaseRepresentation
bin10110101001001110…
…01111111011000000
31011101020112020120000
423110213033323000
5144344142240331
65330154320000
7610155510624
oct132447177300
934336466500
1012156993216
11517933aa35
122433429000
1311b9841814
14834807184
154b24320e6
hex2d49cfec0

12156993216 has 140 divisors (see below), whose sum is σ = 38157244488. Its totient is φ = 3813931008.

The previous prime is 12156993209. The next prime is 12156993221. The reversal of 12156993216 is 61239965121.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19155 + ... + 157101.

Almost surely, 212156993216 is an apocalyptic number.

12156993216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12156993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078622244).

12156993216 is an abundant number, since it is smaller than the sum of its proper divisors (26000251272).

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

12156993216 is a wasteful number, since it uses less digits than its factorization.

12156993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137988 (or 137969 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 12156993216 in words is "twelve billion, one hundred fifty-six million, nine hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 137947 275894 413841 551788 827682 1103576 1241523 1655364 2207152 2345099 2483046 3310728 3724569 4414304 4690198 4966092 6621456 7035297 7449138 8828608 9380396 9932184 11173707 13242912 14070594 14898276 18760792 19864368 21105891 22347414 26485824 28141188 29796552 37521584 39728736 42211782 44694828 56282376 59593104 63317673 75043168 79457472 84423564 89389656 112564752 119186208 126635346 150086336 168847128 178779312 189953019 225129504 238372416 253270692 337694256 357558624 379906038 450259008 506541384 675388512 715117248 759812076 1013082768 1350777024 1519624152 2026165536 3039248304 4052331072 6078496608 12156993216