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12604328361 = 32374232
BaseRepresentation
bin10111011110100011…
…01100100110101001
31012112102021020000100
423233101230212221
5201303202001421
65442414300013
7624230011002
oct135721544651
935472236010
1012604328361
1153888a64a9
1225391b7609
13125b417581
14877db01a9
154db845c26
hex2ef46c9a9

12604328361 has 9 divisors (see below), whose sum is σ = 18206738589. Its totient is φ = 8402661036.

The previous prime is 12604328339. The next prime is 12604328383. The reversal of 12604328361 is 16382340621.

The square root of 12604328361 is 112269.

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

12604328361 is a `hidden beast` number, since 1 + 260 + 4 + 32 + 8 + 361 = 666.

It is an interprime number because it is at equal distance from previous prime (12604328339) and next prime (12604328383).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12604328361 - 25 = 12604328329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12604328311) 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, 318096 + ... + 355518.

Almost surely, 212604328361 is an apocalyptic number.

12604328361 is the 112269-th square number.

12604328361 is the 56135-th centered octagonal number.

It is an amenable number.

12604328361 is a deficient number, since it is larger than the sum of its proper divisors (5602410228).

12604328361 is an frugal number, since it uses more digits than its factorization.

12604328361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74852 (or 37426 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 12604328361 by its sum of digits (36), we get a square (453755820996 = 6736142).

Adding to 12604328361 its reverse (16382340621), we get a palindrome (28986668982).

The spelling of 12604328361 in words is "twelve billion, six hundred four million, three hundred twenty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 37423 112269 336807 1400480929 4201442787 12604328361