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12053468367 = 3217246310009
BaseRepresentation
bin10110011100111000…
…10101010011001111
31011010000201122011100
423032130111103033
5144141141441432
65312015354143
7604460535123
oct131634252317
934100648140
1012053468367
115125961206
122404822953
1311a1265805
14824b79583
154a82d307c
hex2ce7154cf

12053468367 has 36 divisors (see below), whose sum is σ = 18536758240. Its totient is φ = 7545871872.

The previous prime is 12053468351. The next prime is 12053468419. The reversal of 12053468367 is 76386435021.

12053468367 is a `hidden beast` number, since 1 + 20 + 534 + 68 + 36 + 7 = 666.

It is not a de Polignac number, because 12053468367 - 24 = 12053468351 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12053468327) 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 35 ways as a sum of consecutive naturals, for example, 1199259 + ... + 1209267.

Almost surely, 212053468367 is an apocalyptic number.

12053468367 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12053468367 is a deficient number, since it is larger than the sum of its proper divisors (6483289873).

12053468367 is a wasteful number, since it uses less digits than its factorization.

12053468367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10492 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12053468367 in words is "twelve billion, fifty-three million, four hundred sixty-eight thousand, three hundred sixty-seven".

Divisors: 1 3 9 17 51 153 289 463 867 1389 2601 4167 7871 10009 23613 30027 70839 90081 133807 170153 401421 510459 1204263 1531377 2892601 4634167 8677803 13902501 26033409 41707503 78780839 236342517 709027551 1339274263 4017822789 12053468367