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12919504896 = 22032372
BaseRepresentation
bin11000000100001000…
…00000000000000000
31020100101022211221100
430002010000000000
5202424343124041
65533553454400
7635104660014
oct140204000000
936311284840
1012919504896
11552a7a6281
122606871400
1312ab7ca16c
148a7bb4544
155093516b6
hex302100000

12919504896 has 189 divisors, whose sum is σ = 38358988941. Its totient is φ = 4190109696.

The previous prime is 12919504883. The next prime is 12919504903. The reversal of 12919504896 is 69840591921.

The square root of 12919504896 is 113664.

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

12919504896 is a `hidden beast` number, since 129 + 1 + 9 + 504 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11560550400 + 1358954496 = 107520^2 + 36864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 349175790 + ... + 349175826.

Almost surely, 212919504896 is an apocalyptic number.

12919504896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12919504896 is the 113664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12919504896

12919504896 is an abundant number, since it is smaller than the sum of its proper divisors (25439484045).

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

12919504896 is an frugal number, since it uses more digits than its factorization.

12919504896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 12919504896 in words is "twelve billion, nine hundred nineteen million, five hundred four thousand, eight hundred ninety-six".