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12325662441 = 3223216092
BaseRepresentation
bin10110111101010101…
…01010111011101001
31011210222220112020100
423132222222323221
5200220332144231
65355021420013
7614304254631
oct133652527351
934728815210
1012325662441
115255573694
12247ba0a609
1312157791b1
1484cd916c1
154c214d1e6
hex2deaaaee9

12325662441 has 27 divisors (see below), whose sum is σ = 18623039799. Its totient is φ = 7854957792.

The previous prime is 12325662383. The next prime is 12325662451. The reversal of 12325662441 is 14426652321.

The square root of 12325662441 is 111021.

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

12325662441 is a `hidden beast` number, since 1 + 2 + 3 + 25 + 6 + 624 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12051428841 + 274233600 = 109779^2 + 16560^2 .

It is not a de Polignac number, because 12325662441 - 27 = 12325662313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12325662396 and 12325662405.

It is not an unprimeable number, because it can be changed into a prime (12325662451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7659645 + ... + 7661253.

Almost surely, 212325662441 is an apocalyptic number.

12325662441 is the 111021-st square number.

12325662441 is the 55511-st centered octagonal number.

It is an amenable number.

12325662441 is a deficient number, since it is larger than the sum of its proper divisors (6297377358).

12325662441 is an frugal number, since it uses more digits than its factorization.

12325662441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 1635 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Multiplying 12325662441 by its sum of digits (36), we get a square (443723847876 = 6661262).

The spelling of 12325662441 in words is "twelve billion, three hundred twenty-five million, six hundred sixty-two thousand, four hundred forty-one".

Divisors: 1 3 9 23 69 207 529 1587 1609 4761 4827 14481 37007 111021 333063 851161 2553483 2588881 7660449 7766643 23299929 59544263 178632789 535898367 1369518049 4108554147 12325662441