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12856671328 = 251721923851
BaseRepresentation
bin10111111100101000…
…10011110001100000
31020012000002120111011
423332110103301200
5202312301440303
65523431030304
7633412621534
oct137624236140
936160076434
1012856671328
1154a828a506
1225a980b394
13129b79a537
1489d6d9bc4
15503a8e16d
hex2fe513c60

12856671328 has 108 divisors (see below), whose sum is σ = 28385083692. Its totient is φ = 5730278400.

The previous prime is 12856671313. The next prime is 12856671383. The reversal of 12856671328 is 82317665821.

It is a happy number.

12856671328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3336603 + ... + 3340453.

It is an arithmetic number, because the mean of its divisors is an integer number (262824849).

Almost surely, 212856671328 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 12856671328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192541846).

12856671328 is an abundant number, since it is smaller than the sum of its proper divisors (15528412364).

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

12856671328 is a wasteful number, since it uses less digits than its factorization.

12856671328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3889 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The spelling of 12856671328 in words is "twelve billion, eight hundred fifty-six million, six hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 289 304 323 361 544 578 608 646 722 1156 1292 1444 2312 2584 2888 3851 4624 5168 5491 5776 6137 7702 9248 10336 10982 11552 12274 15404 21964 24548 30808 43928 49096 61616 65467 73169 87856 98192 104329 123232 130934 146338 175712 196384 208658 261868 292676 417316 523736 585352 834632 1047472 1112939 1170704 1243873 1390211 1669264 2094944 2225878 2341408 2487746 2780422 3338528 4451756 4975492 5560844 8903512 9950984 11121688 17807024 19901968 21145841 22243376 23633587 35614048 39803936 42291682 44486752 47267174 84583364 94534348 169166728 189068696 338333456 378137392 401770979 676666912 756274784 803541958 1607083916 3214167832 6428335664 12856671328