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12234860016 = 2431783180647
BaseRepresentation
bin10110110010100000…
…10010010111110000
31011120200001021201120
423121100102113300
5200024111010031
65342015302240
7612122410551
oct133120222760
934520037646
1012234860016
115209294465
12245551a980
1311cca05c52
14840cb6328
154b91b3a96
hex2d94125f0

12234860016 has 80 divisors (see below), whose sum is σ = 33869332224. Its totient is φ = 3792120832.

The previous prime is 12234860009. The next prime is 12234860081. The reversal of 12234860016 is 61006843221.

It is a super-2 number, since 2×122348600162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 22596 + ... + 158051.

Almost surely, 212234860016 is an apocalyptic number.

12234860016 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 12234860016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934666112).

12234860016 is an abundant number, since it is smaller than the sum of its proper divisors (21634472208).

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

12234860016 is a wasteful number, since it uses less digits than its factorization.

12234860016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180758 (or 180752 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 12234860016 in words is "twelve billion, two hundred thirty-four million, eight hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 272 332 408 498 664 816 996 1328 1411 1992 2822 3984 4233 5644 8466 11288 16932 22576 33864 67728 180647 361294 541941 722588 1083882 1445176 2167764 2890352 3070999 4335528 6141998 8671056 9212997 12283996 14993701 18425994 24567992 29987402 36851988 44981103 49135984 59974804 73703976 89962206 119949608 147407952 179924412 239899216 254892917 359848824 509785834 719697648 764678751 1019571668 1529357502 2039143336 3058715004 4078286672 6117430008 12234860016