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12821023368 = 2332313568913
BaseRepresentation
bin10111111000011000…
…10100101010001000
31020002112000110200100
423330030110222020
5202224140221433
65520115005400
7632500620606
oct137414245210
936075013610
1012821023368
11548a15168a
122599899860
13129429887a
14898a9a876
1550089bb13
hex2fc314a88

12821023368 has 48 divisors (see below), whose sum is σ = 34834604220. Its totient is φ = 4260013056.

The previous prime is 12821023351. The next prime is 12821023421. The reversal of 12821023368 is 86332012821.

12821023368 is a `hidden beast` number, since 1 + 282 + 10 + 2 + 3 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12719779524 + 101243844 = 112782^2 + 10062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261921 + ... + 306992.

Almost surely, 212821023368 is an apocalyptic number.

12821023368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12821023368 is an abundant number, since it is smaller than the sum of its proper divisors (22013580852).

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

12821023368 is a wasteful number, since it uses less digits than its factorization.

12821023368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569238 (or 569231 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12821023368 in words is "twelve billion, eight hundred twenty-one million, twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313 626 939 1252 1878 2504 2817 3756 5634 7512 11268 22536 568913 1137826 1706739 2275652 3413478 4551304 5120217 6826956 10240434 13653912 20480868 40961736 178069769 356139538 534209307 712279076 1068418614 1424558152 1602627921 2136837228 3205255842 4273674456 6410511684 12821023368