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12545566416 = 24349680221
BaseRepresentation
bin10111010111100011…
…00010011011010000
31012101022200210210000
423223301202123100
5201143131111131
65432515010000
7622614361245
oct135361423320
935338623700
1012545566416
115358710809
122521599900
13124c1b1ca6
148702755cc
154d65d9ce6
hex2ebc626d0

12545566416 has 50 divisors (see below), whose sum is σ = 36310512722. Its totient is φ = 4181855040.

The previous prime is 12545566399. The next prime is 12545566427. The reversal of 12545566416 is 61466554521.

12545566416 is a `hidden beast` number, since 1 + 2 + 5 + 45 + 566 + 41 + 6 = 666.

12545566416 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., 7433888400 + 5111678016 = 86220^2 + 71496^2 .

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 4838815 + ... + 4841406.

Almost surely, 212545566416 is an apocalyptic number.

12545566416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12545566416 is an abundant number, since it is smaller than the sum of its proper divisors (23764946306).

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

12545566416 is an equidigital number, since it uses as much as digits as its factorization.

12545566416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680241 (or 9680226 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 12545566416 in words is "twelve billion, five hundred forty-five million, five hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 9680221 19360442 29040663 38720884 58081326 77441768 87121989 116162652 154883536 174243978 232325304 261365967 348487956 464650608 522731934 696975912 784097901 1045463868 1393951824 1568195802 2090927736 3136391604 4181855472 6272783208 12545566416