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13452625431 = 3274734713093
BaseRepresentation
bin11001000011101011…
…01100011000010111
31021201112111011211100
430201311230120113
5210022333003211
610102520241143
7654240300210
oct144165543027
937645434740
1013452625431
115783724663
1227353101b3
1313650aa6bb
1491890c407
1553b05d156
hex321d6c617

13452625431 has 48 divisors (see below), whose sum is σ = 22747106304. Its totient is φ = 7501401792.

The previous prime is 13452625393. The next prime is 13452625469.

13452625431 is a `hidden beast` number, since 1 + 3 + 4 + 52 + 62 + 543 + 1 = 666.

13452625431 is nontrivially palindromic in base 10.

13452625431 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 (13452625393) and next prime (13452625469).

It is not a de Polignac number, because 13452625431 - 210 = 13452624407 is a prime.

It is a super-2 number, since 2×134526254312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13452625471) 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 47 ways as a sum of consecutive naturals, for example, 1020921 + ... + 1034013.

It is an arithmetic number, because the mean of its divisors is an integer number (473898048).

Almost surely, 213452625431 is an apocalyptic number.

13452625431 is a deficient number, since it is larger than the sum of its proper divisors (9294480873).

13452625431 is a wasteful number, since it uses less digits than its factorization.

13452625431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13500 (or 13497 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 13452625431 in words is "thirteen billion, four hundred fifty-two million, six hundred twenty-five thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 47 63 141 329 347 423 987 1041 2429 2961 3123 7287 13093 16309 21861 39279 48927 91651 114163 117837 146781 274953 342489 615371 824859 1027467 1846113 4307597 4543271 5538339 12922791 13629813 31802897 38768373 40889439 95408691 213533737 286226073 640601211 1494736159 1921803633 4484208477 13452625431