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12661275144 = 233775364733
BaseRepresentation
bin10111100101010101…
…11011101000001000
31012200101102102022110
423302222323220020
5201412241301034
65452211022320
7625521030420
oct136252735010
935611372273
1012661275144
115407a61461
12255429a9a0
13126a1658ab
14881795480
154e1843de9
hex2f2abba08

12661275144 has 32 divisors (see below), whose sum is σ = 36175072320. Its totient is φ = 3617507136.

The previous prime is 12661275071. The next prime is 12661275163. The reversal of 12661275144 is 44157216621.

12661275144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×126612751443 (a number of 31 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 37682199 + ... + 37682534.

It is an arithmetic number, because the mean of its divisors is an integer number (1130471010).

Almost surely, 212661275144 is an apocalyptic number.

12661275144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12661275144 is an abundant number, since it is smaller than the sum of its proper divisors (23513797176).

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

12661275144 is a wasteful number, since it uses less digits than its factorization.

12661275144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75364749 (or 75364745 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 12661275144 in words is "twelve billion, six hundred sixty-one million, two hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 75364733 150729466 226094199 301458932 452188398 527553131 602917864 904376796 1055106262 1582659393 1808753592 2110212524 3165318786 4220425048 6330637572 12661275144