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11679072339 = 3112314192477
BaseRepresentation
bin10101110000010000…
…01000000001010011
31010010221020100100210
422320020020001103
5142404320303324
65210523015203
7562263322404
oct127010100123
933127210323
1011679072339
114a53593a00
12231b36a503
13114181a2bc
147cb15b9ab
154854cad29
hex2b8208053

11679072339 has 48 divisors (see below), whose sum is σ = 17717898240. Its totient is φ = 6830788800.

The previous prime is 11679072331. The next prime is 11679072359. The reversal of 11679072339 is 93327097611.

It is a happy number.

It is not a de Polignac number, because 11679072339 - 23 = 11679072331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11679072331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4713769 + ... + 4716245.

It is an arithmetic number, because the mean of its divisors is an integer number (369122880).

Almost surely, 211679072339 is an apocalyptic number.

11679072339 is a deficient number, since it is larger than the sum of its proper divisors (6038825901).

11679072339 is a wasteful number, since it uses less digits than its factorization.

11679072339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The spelling of 11679072339 in words is "eleven billion, six hundred seventy-nine million, seventy-two thousand, three hundred thirty-nine".

Divisors: 1 3 11 31 33 93 121 341 363 419 1023 1257 2477 3751 4609 7431 11253 12989 13827 27247 38967 50699 76787 81741 142879 152097 230361 299717 428637 844657 899151 1037863 1571669 2533971 3113589 4715007 9291227 11416493 27873681 32173753 34249479 96521259 125581423 353911283 376744269 1061733849 3893024113 11679072339