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12289511349 = 331519329959
BaseRepresentation
bin10110111001000001…
…10000111110110101
31011201110212212021000
423130200300332311
5200132103330344
65351250513513
7613355060103
oct133440607665
934643785230
1012289511349
115237121855
12246b895899
13120b12c50b
14848260c73
154bddaba69
hex2dc830fb5

12289511349 has 16 divisors (see below), whose sum is σ = 18208489600. Its totient is φ = 8192194848.

The previous prime is 12289511291. The next prime is 12289511357. The reversal of 12289511349 is 94311598221.

12289511349 is a `hidden beast` number, since 1 + 22 + 89 + 511 + 34 + 9 = 666.

It is not a de Polignac number, because 12289511349 - 212 = 12289507253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12289511249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395232 + ... + 425190.

It is an arithmetic number, because the mean of its divisors is an integer number (1138030600).

Almost surely, 212289511349 is an apocalyptic number.

It is an amenable number.

12289511349 is a deficient number, since it is larger than the sum of its proper divisors (5918978251).

12289511349 is a wasteful number, since it uses less digits than its factorization.

12289511349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45161 (or 45155 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 12289511349 in words is "twelve billion, two hundred eighty-nine million, five hundred eleven thousand, three hundred forty-nine".

Divisors: 1 3 9 27 15193 29959 45579 89877 136737 269631 410211 808893 455167087 1365501261 4096503783 12289511349