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12893650944 = 2153314231
BaseRepresentation
bin11000000001000010…
…11000000000000000
31020021120200022222120
430000201120000000
5202401233312234
65531231404240
7634342140036
oct140041300000
936246608876
1012893650944
115517147879
1225ba083680
1312a6347375
148a45a4556
15506e46049
hex300858000

12893650944 has 128 divisors (see below), whose sum is σ = 35500047360. Its totient is φ = 4158259200.

The previous prime is 12893650871. The next prime is 12893650993. The reversal of 12893650944 is 44905639821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×128936509442 (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 7 ways as a sum of consecutive naturals, for example, 3045309 + ... + 3049539.

It is an arithmetic number, because the mean of its divisors is an integer number (277344120).

Almost surely, 212893650944 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 12893650944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750023680).

12893650944 is an abundant number, since it is smaller than the sum of its proper divisors (22606396416).

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

12893650944 is an frugal number, since it uses more digits than its factorization.

12893650944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 12893650944 in words is "twelve billion, eight hundred ninety-three million, six hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 4096 4231 5952 6144 7936 8192 8462 11904 12288 12693 15872 16384 16924 23808 24576 25386 31744 32768 33848 47616 49152 50772 63488 67696 95232 98304 101544 126976 131161 135392 190464 203088 253952 262322 270784 380928 393483 406176 507904 524644 541568 761856 786966 812352 1015808 1049288 1083136 1523712 1573932 1624704 2098576 2166272 3047424 3147864 3249408 4197152 4332544 6295728 6498816 8394304 8665088 12591456 12997632 16788608 17330176 25182912 25995264 33577216 34660352 50365824 51990528 67154432 69320704 100731648 103981056 134308864 138641408 201463296 207962112 268617728 402926592 415924224 537235456 805853184 1074470912 1611706368 2148941824 3223412736 4297883648 6446825472 12893650944