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9435504013 = 131096658789
BaseRepresentation
bin10001100100110011…
…00101110110001101
3220100120120021012121
420302121211312031
5123310442112023
64200135332541
7452551314025
oct106231456615
926316507177
109435504013
114002106901
1219b3b21151
13b74a72b90
146571bca85
153a3554d5d
hex232665d8d

9435504013 has 8 divisors (see below), whose sum is σ = 10254536600. Its totient is φ = 8629789248.

The previous prime is 9435503947. The next prime is 9435504017. The reversal of 9435504013 is 3104055349.

9435504013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 811224324 + 8624279689 = 28482^2 + 92867^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9435504013 - 29 = 9435503501 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9435504013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9435504017) 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 7 ways as a sum of consecutive naturals, for example, 3327978 + ... + 3330811.

It is an arithmetic number, because the mean of its divisors is an integer number (1281817075).

Almost surely, 29435504013 is an apocalyptic number.

It is an amenable number.

9435504013 is a deficient number, since it is larger than the sum of its proper divisors (819032587).

9435504013 is a wasteful number, since it uses less digits than its factorization.

9435504013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658911.

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 9435504013 is about 97136.5225494510. The cubic root of 9435504013 is about 2113.1080341084.

The spelling of 9435504013 in words is "nine billion, four hundred thirty-five million, five hundred four thousand, thirteen".

Divisors: 1 13 109 1417 6658789 86564257 725808001 9435504013