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114164736353 is a prime number
BaseRepresentation
bin110101001010010111…
…1111010000101100001
3101220200100002111121122
41222110233322011201
53332302133030403
6124240242302025
711151052150643
oct1522457720541
9356610074548
10114164736353
1144465021188
121a161657915
13a9c52a9b45
14575037a893
152e82a5d838
hex1a94bfa161

114164736353 has 2 divisors, whose sum is σ = 114164736354. Its totient is φ = 114164736352.

The previous prime is 114164736307. The next prime is 114164736391. The reversal of 114164736353 is 353637461411.

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., 64162409809 + 50002326544 = 253303^2 + 223612^2 .

It is a cyclic number.

It is not a de Polignac number, because 114164736353 - 28 = 114164736097 is a prime.

It is not a weakly prime, because it can be changed into another prime (114164736253) 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, 57082368176 + 57082368177.

It is an arithmetic number, because the mean of its divisors is an integer number (57082368177).

Almost surely, 2114164736353 is an apocalyptic number.

It is an amenable number.

114164736353 is a deficient number, since it is larger than the sum of its proper divisors (1).

114164736353 is an equidigital number, since it uses as much as digits as its factorization.

114164736353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 44.

The spelling of 114164736353 in words is "one hundred fourteen billion, one hundred sixty-four million, seven hundred thirty-six thousand, three hundred fifty-three".