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12457864512 = 263221628237
BaseRepresentation
bin10111001101000101…
…11110110101000000
31012011012200002101100
423212202332311000
5201003203131022
65420103134400
7620501046462
oct134642766500
935135602340
1012457864512
115313159aa5
1224b8144400
131236c86082
14862766132
154cda641ac
hex2e68bed40

12457864512 has 42 divisors (see below), whose sum is σ = 35708220938. Its totient is φ = 4152621312.

The previous prime is 12457864511. The next prime is 12457864519. The reversal of 12457864512 is 21546875421.

12457864512 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 78 + 64 + 512 = 666.

12457864512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9616548096 + 2841316416 = 98064^2 + 53304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12457864511) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10813543 + ... + 10814694.

Almost surely, 212457864512 is an apocalyptic number.

12457864512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12457864512 is an abundant number, since it is smaller than the sum of its proper divisors (23250356426).

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

12457864512 is a wasteful number, since it uses less digits than its factorization.

12457864512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21628255 (or 21628242 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 12457864512 in words is "twelve billion, four hundred fifty-seven million, eight hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21628237 43256474 64884711 86512948 129769422 173025896 194654133 259538844 346051792 389308266 519077688 692103584 778616532 1038155376 1384207168 1557233064 2076310752 3114466128 4152621504 6228932256 12457864512