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12569997456 = 243293432
BaseRepresentation
bin10111011010011101…
…01111000010010000
31012110000200000212100
423231032233002100
5201220404404311
65435150400400
7623332133622
oct135516570220
935400600770
1012569997456
115370488155
122529800100
131254287223
148735d4c12
154d8813a56
hex2ed3af090

12569997456 has 45 divisors (see below), whose sum is σ = 35182300179. Its totient is φ = 4189550688.

The previous prime is 12569997437. The next prime is 12569997497. The reversal of 12569997456 is 65479996521.

The square root of 12569997456 is 112116.

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

12569997456 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 99 + 97 + 456 = 666.

12569997456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12569997393 and 12569997402.

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 8 ways as a sum of consecutive naturals, for example, 1340721 + ... + 1350063.

Almost surely, 212569997456 is an apocalyptic number.

12569997456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12569997456 is the 112116-th square number.

It is an amenable number.

12569997456 is an abundant number, since it is smaller than the sum of its proper divisors (22612302723).

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

12569997456 is an frugal number, since it uses more digits than its factorization.

12569997456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18700 (or 9348 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

It can be divided in two parts, 12569 and 997456, that added together give a square (1010025 = 10052).

The spelling of 12569997456 in words is "twelve billion, five hundred sixty-nine million, nine hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9343 18686 28029 37372 56058 74744 84087 112116 149488 168174 224232 336348 448464 672696 1345392 87291649 174583298 261874947 349166596 523749894 698333192 785624841 1047499788 1396666384 1571249682 2094999576 3142499364 4189999152 6284998728 12569997456