Search a number
-
+
13936510809 = 3413210092
BaseRepresentation
bin11001111101010111…
…00100011101011001
31022222021000002210000
430332223210131121
5212020221321214
610222523443213
71002234246564
oct147653443531
938867002700
1013936510809
115a01884931
12284b386509
13141140ca00
14962cab4db
15568791809
hex33eae4759

13936510809 has 45 divisors (see below), whose sum is σ = 22565732013. Its totient is φ = 8567814528.

The previous prime is 13936510789. The next prime is 13936510813. The reversal of 13936510809 is 90801563931.

The square root of 13936510809 is 118053.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4298769225 + 9637741584 = 65565^2 + 98172^2 .

It is not a de Polignac number, because 13936510809 - 233 = 5346576217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13936510109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13811697 + ... + 13812705.

Almost surely, 213936510809 is an apocalyptic number.

13936510809 is the 118053-rd square number.

13936510809 is the 59027-th centered octagonal number.

It is an amenable number.

13936510809 is a deficient number, since it is larger than the sum of its proper divisors (8629221204).

13936510809 is an frugal number, since it uses more digits than its factorization.

13936510809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 13936510809 in words is "thirteen billion, nine hundred thirty-six million, five hundred ten thousand, eight hundred nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1009 1053 1521 3027 4563 9081 13117 13689 27243 39351 81729 118053 170521 354159 511563 1018081 1062477 1534689 3054243 4604067 9162729 13235053 13812201 27488187 39705159 82464561 119115477 172055689 357346431 516167067 1072039293 1548501201 4645503603 13936510809