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12541076691 = 3111331943009
BaseRepresentation
bin10111010111000000…
…11010010011010011
31012101000020201000220
423223200122103103
5201141003423231
65432234444123
7622531251543
oct135340322323
935330221026
1012541076691
1153561245a0
12251bb93643
13124b29c550
1486d827323
154d5eee896
hex2eb81a4d3

12541076691 has 32 divisors (see below), whose sum is σ = 20278487040. Its totient is φ = 6789657600.

The previous prime is 12541076659. The next prime is 12541076701. The reversal of 12541076691 is 19667014521.

12541076691 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12541076691 - 25 = 12541076659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12541076591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458206 + ... + 484803.

It is an arithmetic number, because the mean of its divisors is an integer number (633702720).

Almost surely, 212541076691 is an apocalyptic number.

12541076691 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12541076691 is a deficient number, since it is larger than the sum of its proper divisors (7737410349).

12541076691 is a wasteful number, since it uses less digits than its factorization.

12541076691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943067.

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 12541076691 in words is "twelve billion, five hundred forty-one million, seventy-six thousand, six hundred ninety-one".

Divisors: 1 3 11 13 31 33 39 93 143 341 403 429 1023 1209 4433 13299 943009 2829027 10373099 12259117 29233279 31119297 36777351 87699837 134850287 321566069 380032627 404550861 964698207 1140097881 4180358897 12541076691