Search a number
-
+
13427000893 is a prime number
BaseRepresentation
bin11001000000100111…
…11100011000111101
31021122202021022120101
430200103330120331
5204444303012033
610100203121101
7653506424125
oct144023743075
937582238511
1013427000893
115770212559
122728813191
13135c9a8157
1491535bc85
15538b9a97d
hex3204fc63d

13427000893 has 2 divisors, whose sum is σ = 13427000894. Its totient is φ = 13427000892.

The previous prime is 13427000863. The next prime is 13427000941. The reversal of 13427000893 is 39800072431.

13427000893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9138977604 + 4288023289 = 95598^2 + 65483^2 .

It is a cyclic number.

It is not a de Polignac number, because 13427000893 - 25 = 13427000861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13427000803) 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 as a sum of consecutive naturals, namely, 6713500446 + 6713500447.

It is an arithmetic number, because the mean of its divisors is an integer number (6713500447).

Almost surely, 213427000893 is an apocalyptic number.

It is an amenable number.

13427000893 is a deficient number, since it is larger than the sum of its proper divisors (1).

13427000893 is an equidigital number, since it uses as much as digits as its factorization.

13427000893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 13427000893 in words is "thirteen billion, four hundred twenty-seven million, eight hundred ninety-three", and thus it is an aban number.