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12614735328 = 2531347215063
BaseRepresentation
bin10111011111110010…
…11001010111100000
31012120010211221200120
423233321121113200
5201313333012303
65443425320240
7624414324006
oct135771312740
935503757616
1012614735328
1153937643a8
122540796080
13126061c440
1487951ca76
154dc6ee553
hex2efe595e0

12614735328 has 96 divisors (see below), whose sum is σ = 36419798016. Its totient is φ = 3798855168.

The previous prime is 12614735327. The next prime is 12614735333. The reversal of 12614735328 is 82353741621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12614735328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12614735321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48876 + ... + 166187.

It is an arithmetic number, because the mean of its divisors is an integer number (379372896).

Almost surely, 212614735328 is an apocalyptic number.

It is an amenable number.

12614735328 is an abundant number, since it is smaller than the sum of its proper divisors (23805062688).

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

12614735328 is a wasteful number, since it uses less digits than its factorization.

12614735328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215136 (or 215128 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The spelling of 12614735328 in words is "twelve billion, six hundred fourteen million, seven hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7332 9776 14664 19552 29328 58656 215063 430126 645189 860252 1290378 1720504 2580756 2795819 3441008 5161512 5591638 6882016 8387457 10107961 10323024 11183276 16774914 20215922 20646048 22366552 30323883 33549828 40431844 44733104 60647766 67099656 80863688 89466208 121295532 131403493 134199312 161727376 242591064 262806986 268398624 323454752 394210479 485182128 525613972 788420958 970364256 1051227944 1576841916 2102455888 3153683832 4204911776 6307367664 12614735328