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12052307089 = 31123532
BaseRepresentation
bin10110011100101111…
…11001110010010001
31011002221112122012001
423032113321302101
5144140342311324
65311534434001
7604444630354
oct131627716221
934087478161
1012052307089
115125238779
122404362901
1311a0c4a074
1482495629b
154a8153e44
hex2ce5f9c91

12052307089 has 9 divisors (see below), whose sum is σ = 12125534779. Its totient is φ = 11979520960.

The previous prime is 12052307051. The next prime is 12052307117. The reversal of 12052307089 is 98070325021.

The square root of 12052307089 is 109783.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4896500625 + 7155806464 = 69975^2 + 84592^2 .

It is not a de Polignac number, because 12052307089 - 233 = 3462372497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12052307009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34142337 + ... + 34142689.

Almost surely, 212052307089 is an apocalyptic number.

12052307089 is the 109783-rd square number.

12052307089 is the 54892-nd centered octagonal number.

It is an amenable number.

12052307089 is a deficient number, since it is larger than the sum of its proper divisors (73227690).

12052307089 is an frugal number, since it uses more digits than its factorization.

12052307089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 12052307089 in words is "twelve billion, fifty-two million, three hundred seven thousand, eighty-nine".

Divisors: 1 311 353 96721 109783 124609 34142513 38753399 12052307089