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13799905729 = 79214872
BaseRepresentation
bin11001101101000100…
…11101100111000001
31022121201221211211121
430312202131213001
5211230233440404
610201203512241
7665655156211
oct146642354701
938551854747
1013799905729
115941761475
122811688681
1313bc0209bc
1494caac241
1555b7aae54
hex33689d9c1

13799905729 has 9 divisors (see below), whose sum is σ = 13986204897. Its totient is φ = 13616060484.

The previous prime is 13799905711. The next prime is 13799905739. The reversal of 13799905729 is 92750999731.

The square root of 13799905729 is 117473.

It is a perfect power (a square), and thus also a powerful number.

13799905729 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 13799905729 - 25 = 13799905697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13799905739) 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 8 ways as a sum of consecutive naturals, for example, 9279624 + ... + 9281110.

Almost surely, 213799905729 is an apocalyptic number.

13799905729 is the 117473-rd square number.

13799905729 is the 58737-th centered octagonal number.

It is an amenable number.

13799905729 is a deficient number, since it is larger than the sum of its proper divisors (186299168).

13799905729 is an frugal number, since it uses more digits than its factorization.

13799905729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 9644670, while the sum is 61.

The spelling of 13799905729 in words is "thirteen billion, seven hundred ninety-nine million, nine hundred five thousand, seven hundred twenty-nine".

Divisors: 1 79 1487 6241 117473 2211169 9280367 174682351 13799905729