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13464646431 = 3371011201021
BaseRepresentation
bin11001000101000111…
…00011001100011111
31021202101002220112120
430202203203030133
5210033422141211
610104030034023
7654444414645
oct144243431437
937671086476
1013464646431
11578a495175
122739348913
131367729112
1491a35b195
1553c134d06
hex3228e331f

13464646431 has 16 divisors (see below), whose sum is σ = 18620645088. Its totient is φ = 8647344000.

The previous prime is 13464646427. The next prime is 13464646439.

It is a happy number.

13464646431 is nontrivially palindromic in base 10.

13464646431 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 13464646431 - 22 = 13464646427 is a prime.

It is a super-2 number, since 2×134646464312 (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 (13464646439) 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, 589300 + ... + 611721.

It is an arithmetic number, because the mean of its divisors is an integer number (1163790318).

Almost surely, 213464646431 is an apocalyptic number.

13464646431 is a deficient number, since it is larger than the sum of its proper divisors (5155998657).

13464646431 is a wasteful number, since it uses less digits than its factorization.

13464646431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201162.

The product of its digits is 497664, while the sum is 42.

The spelling of 13464646431 in words is "thirteen billion, four hundred sixty-four million, six hundred forty-six thousand, four hundred thirty-one".

Divisors: 1 3 37 101 111 303 3737 11211 1201021 3603063 44437777 121303121 133313331 363909363 4488215477 13464646431