Search a number
-
+
378164862137 is a prime number
BaseRepresentation
bin1011000000011000110…
…00011101110010111001
31100011002221220102212002
411200030120131302321
522143440201042022
6445420533230345
736215164201646
oct5401430356271
91304087812762
10378164862137
1113641922a117
126135a7923b5
13298789bcc1a
1414436298dcd
159c849d3092
hex580c61dcb9

378164862137 has 2 divisors, whose sum is σ = 378164862138. Its totient is φ = 378164862136.

The previous prime is 378164862083. The next prime is 378164862139. The reversal of 378164862137 is 731268461873.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374465668096 + 3699194041 = 611936^2 + 60821^2 .

It is a cyclic number.

It is not a de Polignac number, because 378164862137 - 224 = 378148084921 is a prime.

Together with 378164862139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (378164862139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 189082431068 + 189082431069.

It is an arithmetic number, because the mean of its divisors is an integer number (189082431069).

Almost surely, 2378164862137 is an apocalyptic number.

It is an amenable number.

378164862137 is a deficient number, since it is larger than the sum of its proper divisors (1).

378164862137 is an equidigital number, since it uses as much as digits as its factorization.

378164862137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8128512, while the sum is 56.

The spelling of 378164862137 in words is "three hundred seventy-eight billion, one hundred sixty-four million, eight hundred sixty-two thousand, one hundred thirty-seven".