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12269328289 = 25724312
BaseRepresentation
bin10110110110100111…
…10001011110100001
31011200001220110022021
423123103301132201
5200111422001124
65345250141441
7613021366261
oct133323613641
934601813267
1012269328289
115226796a39
122464b81881
131206bb398a
148456c97a1
154bc2217e4
hex2db4f17a1

12269328289 has 9 divisors (see below), whose sum is σ = 12345899251. Its totient is φ = 12193231360.

The previous prime is 12269328271. The next prime is 12269328319. The reversal of 12269328289 is 98282396221.

The square root of 12269328289 is 110767.

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., 12079109025 + 190219264 = 109905^2 + 13792^2 .

It is not a de Polignac number, because 12269328289 - 27 = 12269328161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12269328229) 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, 28466904 + ... + 28467334.

Almost surely, 212269328289 is an apocalyptic number.

12269328289 is the 110767-th square number.

12269328289 is the 55384-th centered octagonal number.

It is an amenable number.

12269328289 is a deficient number, since it is larger than the sum of its proper divisors (76570962).

12269328289 is an frugal number, since it uses more digits than its factorization.

12269328289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 688 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 12269328289 in words is "twelve billion, two hundred sixty-nine million, three hundred twenty-eight thousand, two hundred eighty-nine".

Divisors: 1 257 431 66049 110767 185761 28467119 47740577 12269328289