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12817409796 = 2232188692
BaseRepresentation
bin10111110111111101…
…00010011100000100
31020002021012212210100
423323332202130010
5202222224103141
65515505324100
7632425120452
oct137376423404
936067185710
1012817409796
115488103764
122598636630
131293601b69
148983d99d2
155003d60b6
hex2fbfa2704

12817409796 has 27 divisors (see below), whose sum is σ = 32401280821. Its totient is φ = 4272243504.

The previous prime is 12817409753. The next prime is 12817409807. The reversal of 12817409796 is 69790471821.

The square root of 12817409796 is 113214.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12547136196 + 270273600 = 112014^2 + 16440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 669850 + ... + 688718.

Almost surely, 212817409796 is an apocalyptic number.

12817409796 is the 113214-th square number.

It is an amenable number.

12817409796 is an abundant number, since it is smaller than the sum of its proper divisors (19583871025).

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

12817409796 is an frugal number, since it uses more digits than its factorization.

12817409796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37748 (or 18874 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 12817409796 in words is "twelve billion, eight hundred seventeen million, four hundred nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 18869 37738 56607 75476 113214 169821 226428 339642 679284 356039161 712078322 1068117483 1424156644 2136234966 3204352449 4272469932 6408704898 12817409796