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12791735045 = 517322964577
BaseRepresentation
bin10111110100111001…
…00110001100000101
31020000110220110122122
423322130212030011
5202144141010140
65513151135325
7631663645115
oct137234461405
936013813578
1012791735045
115474667961
12258bb14545
13128b1b27bb
14894c35045
154ed013ab5
hex2fa726305

12791735045 has 16 divisors (see below), whose sum is σ = 15506469360. Its totient is φ = 10129649664.

The previous prime is 12791734999. The next prime is 12791735057. The reversal of 12791735045 is 54053719721.

12791735045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3367596961 + 9424138084 = 58031^2 + 97078^2 .

It is a cyclic number.

It is not a de Polignac number, because 12791735045 - 224 = 12774957829 is a prime.

It is a super-2 number, since 2×127917350452 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12791734987 and 12791735005.

It is a congruent number.

It is an unprimeable number.

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, 165797 + ... + 230373.

It is an arithmetic number, because the mean of its divisors is an integer number (969154335).

Almost surely, 212791735045 is an apocalyptic number.

It is an amenable number.

12791735045 is a deficient number, since it is larger than the sum of its proper divisors (2714734315).

12791735045 is a wasteful number, since it uses less digits than its factorization.

12791735045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64984.

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 12791735045 in words is "twelve billion, seven hundred ninety-one million, seven hundred thirty-five thousand, forty-five".

Divisors: 1 5 173 229 865 1145 39617 64577 198085 322885 11171821 14788133 55859105 73940665 2558347009 12791735045