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12791725331 = 7211312233433
BaseRepresentation
bin10111110100111001…
…00011110100010011
31020000110212222022212
423322130203310103
5202144140202311
65513151022335
7631663604600
oct137234436423
936013788285
1012791725331
115474660630
12258bb0a9ab
13128b1ab258
14894c316a7
154ed010c8b
hex2fa723d13

12791725331 has 48 divisors (see below), whose sum is σ = 16836599808. Its totient is φ = 9599990400.

The previous prime is 12791725321. The next prime is 12791725367. The reversal of 12791725331 is 13352719721.

It is not a de Polignac number, because 12791725331 - 230 = 11717983507 is a prime.

It is a super-2 number, since 2×127917253312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12791725301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3724391 + ... + 3727823.

It is an arithmetic number, because the mean of its divisors is an integer number (350762496).

Almost surely, 212791725331 is an apocalyptic number.

12791725331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12791725331 is a deficient number, since it is larger than the sum of its proper divisors (4044874477).

12791725331 is a wasteful number, since it uses less digits than its factorization.

12791725331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3705 counting only the distinct ones).

The product of its digits is 79380, while the sum is 41.

The spelling of 12791725331 in words is "twelve billion, seven hundred ninety-one million, seven hundred twenty-five thousand, three hundred thirty-one".

Divisors: 1 7 11 31 49 77 217 223 341 539 1519 1561 2387 2453 3433 6913 10927 16709 17171 24031 37763 48391 76043 106423 120197 168217 264341 338737 532301 744961 765559 1170653 1850387 3726107 5214727 5358913 8194571 8421149 23732329 37512391 57361997 58948043 166126303 261055619 412636301 1162884121 1827389333 12791725331