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12641071137 = 35997736273
BaseRepresentation
bin10111100010111011…
…10111000000100001
31012121222101221121220
423301131313000201
5201342103234022
65450210005253
7625154221542
oct136135670041
935558357556
1012641071137
1153a7611932
122549576829
131265c10666
1487cc164c9
154deba285c
hex2f1777021

12641071137 has 16 divisors (see below), whose sum is σ = 17317164480. Its totient is φ = 8199124992.

The previous prime is 12641071117. The next prime is 12641071139. The reversal of 12641071137 is 73117014621.

It is a happy number.

12641071137 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 12641071137 - 220 = 12640022561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12641071098 and 12641071107.

It is not an unprimeable number, because it can be changed into a prime (12641071139) 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 15 ways as a sum of consecutive naturals, for example, 350968 + ... + 385305.

It is an arithmetic number, because the mean of its divisors is an integer number (1082322780).

Almost surely, 212641071137 is an apocalyptic number.

It is an amenable number.

12641071137 is a deficient number, since it is larger than the sum of its proper divisors (4676093343).

12641071137 is an equidigital number, since it uses as much as digits as its factorization.

12641071137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736432.

The product of its (nonzero) digits is 7056, while the sum is 33.

Adding to 12641071137 its reverse (73117014621), we get a palindrome (85758085758).

The spelling of 12641071137 in words is "twelve billion, six hundred forty-one million, seventy-one thousand, one hundred thirty-seven".

Divisors: 1 3 59 97 177 291 5723 17169 736273 2208819 43440107 71418481 130320321 214255443 4213690379 12641071137