Search a number
-
+
13237804665 = 325294173437
BaseRepresentation
bin11000101010000100…
…01101111001111001
31021011120021011010200
430111002031321321
5204102334222130
610025324032413
7646021324461
oct142502157171
937146234120
1013237804665
115683439638
122695392709
13132c734517
148d818cba1
15527277760
hex31508de79

13237804665 has 12 divisors (see below), whose sum is σ = 22945528164. Its totient is φ = 7060162464.

The previous prime is 13237804627. The next prime is 13237804691. The reversal of 13237804665 is 56640873231.

13237804665 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 2 ways, for example, as 7357522176 + 5880282489 = 85776^2 + 76683^2 .

It is not a de Polignac number, because 13237804665 - 210 = 13237803641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 294173437 = 13237804665 / (1 + 3 + 2 + 3 + 7 + 8 + 0 + 4 + 6 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 13237804665.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 147086674 + ... + 147086763.

It is an arithmetic number, because the mean of its divisors is an integer number (1912127347).

Almost surely, 213237804665 is an apocalyptic number.

13237804665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13237804665 is a deficient number, since it is larger than the sum of its proper divisors (9707723499).

13237804665 is a wasteful number, since it uses less digits than its factorization.

13237804665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294173448 (or 294173445 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13237804665 in words is "thirteen billion, two hundred thirty-seven million, eight hundred four thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 294173437 882520311 1470867185 2647560933 4412601555 13237804665