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6810736013 is a prime number
BaseRepresentation
bin1100101011111001…
…11001010110001101
3122120122121020101222
412111330321112031
5102422022023023
63043453413125
7330530205134
oct62574712615
918518536358
106810736013
112985534854
1213a0a9a1a5
1384703a513
1448877091b
1529cdd0cc8
hex195f3958d

6810736013 has 2 divisors, whose sum is σ = 6810736014. Its totient is φ = 6810736012.

The previous prime is 6810736007. The next prime is 6810736081. The reversal of 6810736013 is 3106370186.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6681754564 + 128981449 = 81742^2 + 11357^2 .

It is a cyclic number.

It is not a de Polignac number, because 6810736013 - 218 = 6810473869 is a prime.

It is a super-2 number, since 2×68107360132 = 92772250077550272338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6810736613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3405368006 + 3405368007.

It is an arithmetic number, because the mean of its divisors is an integer number (3405368007).

Almost surely, 26810736013 is an apocalyptic number.

It is an amenable number.

6810736013 is a deficient number, since it is larger than the sum of its proper divisors (1).

6810736013 is an equidigital number, since it uses as much as digits as its factorization.

6810736013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 6810736013 is about 82527.1834791422. The cubic root of 6810736013 is about 1895.5329975719.

The spelling of 6810736013 in words is "six billion, eight hundred ten million, seven hundred thirty-six thousand, thirteen".