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12321699936 = 2537213201493
BaseRepresentation
bin10110111100110111…
…00011100001100000
31011210201110012200220
423132123203201200
5200213323344221
65354400443040
7614225502300
oct133633434140
934721405626
1012321699936
115253307597
12247a619480
1312149bc710
1484c63d600
154c1b190c6
hex2de6e3860

12321699936 has 144 divisors (see below), whose sum is σ = 40519637424. Its totient is φ = 3249662976.

The previous prime is 12321699919. The next prime is 12321699953. The reversal of 12321699936 is 63999612321.

12321699936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12321699919) and next prime (12321699953).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39595 + ... + 161898.

It is an arithmetic number, because the mean of its divisors is an integer number (281386371).

Almost surely, 212321699936 is an apocalyptic number.

12321699936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12321699936 is an abundant number, since it is smaller than the sum of its proper divisors (28197937488).

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

12321699936 is a wasteful number, since it uses less digits than its factorization.

12321699936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201533 (or 201518 counting only the distinct ones).

The product of its digits is 944784, while the sum is 51.

The spelling of 12321699936 in words is "twelve billion, three hundred twenty-one million, six hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 30576 61152 201493 402986 604479 805972 1208958 1410451 1611944 2417916 2619409 2820902 3223888 4231353 4835832 5238818 5641804 6447776 7858227 8462706 9671664 9873157 10477636 11283608 15716454 16925412 18335863 19343328 19746314 20955272 22567216 29619471 31432908 33850824 36671726 39492628 41910544 45134432 55007589 59238942 62865816 67701648 73343452 78985256 83821088 110015178 118477884 125731632 128351041 135403296 146686904 157970512 220030356 236955768 251463264 256702082 293373808 315941024 385053123 440060712 473911536 513404164 586747616 770106246 880121424 947823072 1026808328 1540212492 1760242848 2053616656 3080424984 4107233312 6160849968 12321699936