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12896476008 = 23313531794357
BaseRepresentation
bin11000000001011000…
…01001101101101000
31020021202222212020120
430000230021231220
5202402444213013
65531412123240
7634405144263
oct140054115550
936252885216
1012896476008
1155187a7339
1225bb006520
1312a6ac61c0
148a4adbcda
15507303123
hex300b09b68

12896476008 has 128 divisors (see below), whose sum is σ = 35582198400. Its totient is φ = 3870637056.

The previous prime is 12896475983. The next prime is 12896476037. The reversal of 12896476008 is 80067469821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2957766 + ... + 2962122.

It is an arithmetic number, because the mean of its divisors is an integer number (277985925).

Almost surely, 212896476008 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 12896476008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17791099200).

12896476008 is an abundant number, since it is smaller than the sum of its proper divisors (22685722392).

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

12896476008 is a wasteful number, since it uses less digits than its factorization.

12896476008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 12896476008 in words is "twelve billion, eight hundred ninety-six million, four hundred seventy-six thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 179 212 312 318 358 424 537 636 689 716 1074 1272 1378 1432 2067 2148 2327 2756 4134 4296 4357 4654 5512 6981 8268 8714 9308 9487 13071 13962 16536 17428 18616 18974 26142 27924 28461 34856 37948 52284 55848 56641 56922 75896 104568 113282 113844 123331 169923 226564 227688 230921 246662 339846 369993 453128 461842 493324 679692 692763 739986 779903 923684 986648 1359384 1385526 1479972 1559806 1847368 2339709 2771052 2959944 3001973 3119612 4679418 5542104 6003946 6239224 9005919 9358836 10138739 12007892 18011838 18717672 20277478 24015784 30416217 36023676 40554956 41334859 60832434 72047352 81109912 82669718 121664868 124004577 165339436 243329736 248009154 330678872 496018308 537353167 992036616 1074706334 1612059501 2149412668 3224119002 4298825336 6448238004 12896476008