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6338445013 is a prime number
BaseRepresentation
bin1011110011100110…
…01111111011010101
3121100201220100221201
411321303033323111
5100440120220023
62524542512501
7313033615345
oct57163177325
917321810851
106338445013
11276298360a
12128a895731
137a02376a4
14441b4cd25
152716dcbad
hex179ccfed5

6338445013 has 2 divisors, whose sum is σ = 6338445014. Its totient is φ = 6338445012.

The previous prime is 6338444993. The next prime is 6338445017. The reversal of 6338445013 is 3105448336.

6338445013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5194517329 + 1143927684 = 72073^2 + 33822^2 .

It is a cyclic number.

It is not a de Polignac number, because 6338445013 - 213 = 6338436821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6338445017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3169222506 + 3169222507.

It is an arithmetic number, because the mean of its divisors is an integer number (3169222507).

Almost surely, 26338445013 is an apocalyptic number.

It is an amenable number.

6338445013 is a deficient number, since it is larger than the sum of its proper divisors (1).

6338445013 is an equidigital number, since it uses as much as digits as its factorization.

6338445013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 6338445013 is about 79614.3518029256. The cubic root of 6338445013 is about 1850.6639947186.

The spelling of 6338445013 in words is "six billion, three hundred thirty-eight million, four hundred forty-five thousand, thirteen".