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12467454013 = 724347125897
BaseRepresentation
bin10111001110001111…
…00100000000111101
31012011212201021201001
423213013210000331
5201013132012023
65421044450301
7620645416300
oct134707440075
935155637631
1012467454013
115318609803
1224bb3a9991
131238c62b31
14863b40b37
154ce80a6ad
hex2e71e403d

12467454013 has 24 divisors (see below), whose sum is σ = 15156104832. Its totient is φ = 10215705024.

The previous prime is 12467454007. The next prime is 12467454019. The reversal of 12467454013 is 31045476421.

12467454013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12467454007) and next prime (12467454019).

It is not a de Polignac number, because 12467454013 - 25 = 12467453981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12467454019) 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 23 ways as a sum of consecutive naturals, for example, 36081 + ... + 161977.

It is an arithmetic number, because the mean of its divisors is an integer number (631504368).

Almost surely, 212467454013 is an apocalyptic number.

It is an amenable number.

12467454013 is a deficient number, since it is larger than the sum of its proper divisors (2688650819).

12467454013 is a wasteful number, since it uses less digits than its factorization.

12467454013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126001 (or 125994 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 12467454013 in words is "twelve billion, four hundred sixty-seven million, four hundred fifty-four thousand, thirteen".

Divisors: 1 7 43 47 49 301 329 2021 2107 2303 14147 99029 125897 881279 5413571 5917159 6168953 37894997 41420113 254437837 265264979 289940791 1781064859 12467454013