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12759460041 = 317470353197
BaseRepresentation
bin10111110001000010…
…11110100011001001
31012221020011201200010
423320201132203021
5202112410210131
65510035302133
7631122422646
oct137041364311
935836151603
1012759460041
1154584231a9
12258114a949
1312845c2173
14890832dcd
154ea28ab46
hex2f885e8c9

12759460041 has 16 divisors (see below), whose sum is σ = 18017524224. Its totient is φ = 8004082944.

The previous prime is 12759460039. The next prime is 12759460057. The reversal of 12759460041 is 14006495721.

12759460041 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 12759460041 - 21 = 12759460039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12759460001) 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, 213255 + ... + 266451.

It is an arithmetic number, because the mean of its divisors is an integer number (1126095264).

Almost surely, 212759460041 is an apocalyptic number.

It is an amenable number.

12759460041 is a deficient number, since it is larger than the sum of its proper divisors (5258064183).

12759460041 is a wasteful number, since it uses less digits than its factorization.

12759460041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57920.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 12759460041 in words is "twelve billion, seven hundred fifty-nine million, four hundred sixty thousand, forty-one".

Divisors: 1 3 17 51 4703 14109 53197 79951 159591 239853 904349 2713047 250185491 750556473 4253153347 12759460041