Search a number
-
+
34193016917 is a prime number
BaseRepresentation
bin11111110110000100…
…000000100001010101
310021020222012020020222
4133312010000201111
51030011403020132
623412535004125
72320222563653
oct376604004125
9107228166228
1034193016917
1113557080774
126763209645
1332bbc974b7
141925283dd3
15d51cc9412
hex7f6100855

34193016917 has 2 divisors, whose sum is σ = 34193016918. Its totient is φ = 34193016916.

The previous prime is 34193016887. The next prime is 34193016931. The reversal of 34193016917 is 71961039143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33560041636 + 632975281 = 183194^2 + 25159^2 .

It is a cyclic number.

It is not a de Polignac number, because 34193016917 - 228 = 33924581461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34193016937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17096508458 + 17096508459.

It is an arithmetic number, because the mean of its divisors is an integer number (17096508459).

Almost surely, 234193016917 is an apocalyptic number.

It is an amenable number.

34193016917 is a deficient number, since it is larger than the sum of its proper divisors (1).

34193016917 is an equidigital number, since it uses as much as digits as its factorization.

34193016917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 44.

The spelling of 34193016917 in words is "thirty-four billion, one hundred ninety-three million, sixteen thousand, nine hundred seventeen".