Search a number
-
+
34556694761 is a prime number
BaseRepresentation
bin100000001011101111…
…010101000011101001
310022012022111222110202
4200023233111003221
51031233003213021
623513005521545
72332230026141
oct401357250351
9108168458422
1034556694761
1113723398276
126844b732b5
13334942c2a4
14195b6b1921
15d73bb5a0b
hex80bbd50e9

34556694761 has 2 divisors, whose sum is σ = 34556694762. Its totient is φ = 34556694760.

The previous prime is 34556694719. The next prime is 34556694763. The reversal of 34556694761 is 16749665543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28292922025 + 6263772736 = 168205^2 + 79144^2 .

It is a cyclic number.

It is not a de Polignac number, because 34556694761 - 234 = 17376825577 is a prime.

Together with 34556694763, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34556694697 and 34556694706.

It is not a weakly prime, because it can be changed into another prime (34556694763) 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, 17278347380 + 17278347381.

It is an arithmetic number, because the mean of its divisors is an integer number (17278347381).

Almost surely, 234556694761 is an apocalyptic number.

It is an amenable number.

34556694761 is a deficient number, since it is larger than the sum of its proper divisors (1).

34556694761 is an equidigital number, since it uses as much as digits as its factorization.

34556694761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16329600, while the sum is 56.

The spelling of 34556694761 in words is "thirty-four billion, five hundred fifty-six million, six hundred ninety-four thousand, seven hundred sixty-one".