Search a number
-
+
13930946289 = 3213119067917
BaseRepresentation
bin11001111100101100…
…10101111011110001
31022221212112101200200
430332112111323301
5212012310240124
610222204305413
71002136042521
oct147626257361
938855471620
1013930946289
1159a9724157
122849542269
131410211cb0
1496225d681
15568042bc9
hex33e595ef1

13930946289 has 12 divisors (see below), whose sum is σ = 21670361076. Its totient is φ = 8572889952.

The previous prime is 13930946233. The next prime is 13930946303. The reversal of 13930946289 is 98264903931.

13930946289 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 0 + 9 + 4 + 628 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 704106225 + 13226840064 = 26535^2 + 115008^2 .

It is not a de Polignac number, because 13930946289 - 223 = 13922557681 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13930946219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59533842 + ... + 59534075.

It is an arithmetic number, because the mean of its divisors is an integer number (1805863423).

Almost surely, 213930946289 is an apocalyptic number.

It is an amenable number.

13930946289 is a deficient number, since it is larger than the sum of its proper divisors (7739414787).

13930946289 is a wasteful number, since it uses less digits than its factorization.

13930946289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119067936 (or 119067933 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 13930946289 in words is "thirteen billion, nine hundred thirty million, nine hundred forty-six thousand, two hundred eighty-nine".

Divisors: 1 3 9 13 39 117 119067917 357203751 1071611253 1547882921 4643648763 13930946289