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12715106304 = 21334112619
BaseRepresentation
bin10111101011110000…
…10010000000000000
31012211010201022210010
423311320102000000
5202020031400204
65501412504520
7630043422525
oct136570220000
935733638703
1012715106304
11543538961a
12256a31b140
131278362a54
148889a914c
154e6428d89
hex2f5e12000

12715106304 has 112 divisors (see below), whose sum is σ = 34734581280. Its totient is φ = 4134666240.

The previous prime is 12715106303. The next prime is 12715106317. The reversal of 12715106304 is 40360151721.

It is not an unprimeable number, because it can be changed into a prime (12715106303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001307 + ... + 1013925.

It is an arithmetic number, because the mean of its divisors is an integer number (310130190).

Almost surely, 212715106304 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 12715106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367290640).

12715106304 is an abundant number, since it is smaller than the sum of its proper divisors (22019474976).

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

12715106304 is an equidigital number, since it uses as much as digits as its factorization.

12715106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12689 (or 12665 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 12715106304 in words is "twelve billion, seven hundred fifteen million, one hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 4096 5248 6144 7872 8192 10496 12288 12619 15744 20992 24576 25238 31488 37857 41984 50476 62976 75714 83968 100952 125952 151428 167936 201904 251904 302856 335872 403808 503808 517379 605712 807616 1007616 1034758 1211424 1552137 1615232 2069516 2422848 3104274 3230464 4139032 4845696 6208548 6460928 8278064 9691392 12417096 12921856 16556128 19382784 24834192 25843712 33112256 38765568 49668384 51687424 66224512 77531136 99336768 103374848 132449024 155062272 198673536 264898048 310124544 397347072 529796096 794694144 1059592192 1589388288 2119184384 3178776576 4238368768 6357553152 12715106304