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12381664927 = 1729197127487
BaseRepresentation
bin10111000100000000…
…10011011010011111
31011221220021202012111
423202000103122133
5200324201234202
65404342014451
7615554262322
oct134200233237
934856252174
1012381664927
115284144135
122496717427
131224256768
148565ac7b9
154c70116d7
hex2e201369f

12381664927 has 16 divisors (see below), whose sum is σ = 13631016960. Its totient is φ = 11194290688.

The previous prime is 12381664921. The next prime is 12381664949. The reversal of 12381664927 is 72946618321.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12381664927 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 (12381664921) 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, 33378 + ... + 160864.

It is an arithmetic number, because the mean of its divisors is an integer number (851938560).

Almost surely, 212381664927 is an apocalyptic number.

12381664927 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12381664927 is a deficient number, since it is larger than the sum of its proper divisors (1249352033).

12381664927 is a wasteful number, since it uses less digits than its factorization.

12381664927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127730.

The product of its digits is 870912, while the sum is 49.

The spelling of 12381664927 in words is "twelve billion, three hundred eighty-one million, six hundred sixty-four thousand, nine hundred twenty-seven".

Divisors: 1 17 29 197 493 3349 5713 97121 127487 2167279 3697123 25114939 62851091 426953963 728333231 12381664927