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12046988169 = 3616525361
BaseRepresentation
bin10110011100000111…
…00111001110001001
31011002120112102000000
423032003213032021
5144133012110134
65311224433213
7604351465326
oct131603471611
934076472000
1012046988169
115122235577
122402618809
13119cb07088
14823d6db4d
154a7952e99
hex2ce0e7389

12046988169 has 14 divisors (see below), whose sum is σ = 18062220666. Its totient is φ = 8031324960.

The previous prime is 12046988167. The next prime is 12046988183. The reversal of 12046988169 is 96188964021.

12046988169 is a `hidden beast` number, since 12 + 0 + 469 + 8 + 8 + 169 = 666.

12046988169 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., 11339694144 + 707294025 = 106488^2 + 26595^2 .

It is not a de Polignac number, because 12046988169 - 21 = 12046988167 is a prime.

It is a super-2 number, since 2×120469881692 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12046988167) 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 13 ways as a sum of consecutive naturals, for example, 8261952 + ... + 8263409.

It is an arithmetic number, because the mean of its divisors is an integer number (1290158619).

Almost surely, 212046988169 is an apocalyptic number.

It is an amenable number.

12046988169 is a deficient number, since it is larger than the sum of its proper divisors (6015232497).

12046988169 is an frugal number, since it uses more digits than its factorization.

12046988169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16525379 (or 16525364 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12046988169 in words is "twelve billion, forty-six million, nine hundred eighty-eight thousand, one hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 16525361 49576083 148728249 446184747 1338554241 4015662723 12046988169