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13355604441 = 321483956049
BaseRepresentation
bin11000111000000111…
…00101100111011001
31021110202221000001100
430130003211213121
5204323013320231
610045132542013
7651651523164
oct143403454731
937422830040
1013355604441
115733988323
122708921909
13134ac6ab2a
14909a94adb
155327961e6
hex31c0e59d9

13355604441 has 6 divisors (see below), whose sum is σ = 19291428650. Its totient is φ = 8903736288.

The previous prime is 13355604401. The next prime is 13355604463. The reversal of 13355604441 is 14440655331.

13355604441 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 604 + 4 + 41 = 666.

13355604441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13354113600 + 1490841 = 115560^2 + 1221^2 .

It is not a de Polignac number, because 13355604441 - 26 = 13355604377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13355604396 and 13355604405.

It is not an unprimeable number, because it can be changed into a prime (13355604401) 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 5 ways as a sum of consecutive naturals, for example, 741978016 + ... + 741978033.

Almost surely, 213355604441 is an apocalyptic number.

It is an amenable number.

13355604441 is a deficient number, since it is larger than the sum of its proper divisors (5935824209).

13355604441 is a wasteful number, since it uses less digits than its factorization.

13355604441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483956055 (or 1483956052 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

It can be divided in two parts, 13355 and 604441, that added together give a square (617796 = 7862).

The spelling of 13355604441 in words is "thirteen billion, three hundred fifty-five million, six hundred four thousand, four hundred forty-one".

Divisors: 1 3 9 1483956049 4451868147 13355604441