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12326626314 = 23219224316069
BaseRepresentation
bin10110111101011100…
…10110010000001010
31011211001201111102100
423132232112100022
5200221104020224
65355054214230
7614315411022
oct133656262012
934731644370
1012326626314
115256071882
1224801b4376
131215a25b32
1484d162a82
154c228dac9
hex2deb9640a

12326626314 has 48 divisors (see below), whose sum is σ = 28127642400. Its totient is φ = 3890641248.

The previous prime is 12326626313. The next prime is 12326626327. The reversal of 12326626314 is 41362662321.

12326626314 is a `hidden beast` number, since 1 + 2 + 3 + 26 + 626 + 3 + 1 + 4 = 666.

12326626314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12326626313) 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 23 ways as a sum of consecutive naturals, for example, 759072 + ... + 775140.

It is an arithmetic number, because the mean of its divisors is an integer number (585992550).

Almost surely, 212326626314 is an apocalyptic number.

12326626314 is an abundant number, since it is smaller than the sum of its proper divisors (15801016086).

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

12326626314 is a wasteful number, since it uses less digits than its factorization.

12326626314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18339 (or 18336 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 12326626314 in words is "twelve billion, three hundred twenty-six million, six hundred twenty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 2243 4486 6729 13458 16069 20187 32138 40374 42617 48207 85234 96414 127851 144621 255702 289242 305311 383553 610622 767106 915933 1831866 2747799 5495598 36042767 72085534 108128301 216256602 324384903 648769806 684812573 1369625146 2054437719 4108875438 6163313157 12326626314