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12064883346 = 2326777611301
BaseRepresentation
bin10110011110001111…
…11000001010010010
31011010211012120120100
423033013320022102
5144202102231341
65313104153230
7604656550005
oct131707701222
934124176510
1012064883346
11513134847a
122408608816
1311a3731439
148264ab53c
154a92da3b6
hex2cf1f8292

12064883346 has 48 divisors (see below), whose sum is σ = 26233742808. Its totient is φ = 4007328000.

The previous prime is 12064883339. The next prime is 12064883351. The reversal of 12064883346 is 64338846021.

12064883346 is a `hidden beast` number, since 120 + 6 + 488 + 3 + 3 + 46 = 666.

12064883346 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 4 ways, for example, as 6114458025 + 5950425321 = 78195^2 + 77139^2 .

It is a super-2 number, since 2×120648833462 (a number of 21 digits) contains 22 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 23 ways as a sum of consecutive naturals, for example, 9272896 + ... + 9274196.

Almost surely, 212064883346 is an apocalyptic number.

12064883346 is an abundant number, since it is smaller than the sum of its proper divisors (14168859462).

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

12064883346 is a wasteful number, since it uses less digits than its factorization.

12064883346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12064883346 in words is "twelve billion, sixty-four million, eight hundred eighty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 677 761 1301 1354 1522 2031 2283 2602 3903 4062 4566 6093 6849 7806 11709 12186 13698 23418 515197 880777 990061 1030394 1545591 1761554 1980122 2642331 2970183 3091182 4636773 5284662 5940366 7926993 8910549 9273546 15853986 17821098 670271297 1340542594 2010813891 4021627782 6032441673 12064883346