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34371607561 is a prime number
BaseRepresentation
bin100000000000101101…
…010001110000001001
310021201102020120120021
4200000231101300021
51030343112420221
623442354500441
72324521562254
oct400055216011
9107642216507
1034371607561
1113638970545
1267b2b94721
133319c96a35
141940c9209b
15d62805041
hex800b51c09

34371607561 has 2 divisors, whose sum is σ = 34371607562. Its totient is φ = 34371607560.

The previous prime is 34371607559. The next prime is 34371607591. The reversal of 34371607561 is 16570617343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33995984400 + 375623161 = 184380^2 + 19381^2 .

It is a cyclic number.

It is not a de Polignac number, because 34371607561 - 21 = 34371607559 is a prime.

Together with 34371607559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34371607591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17185803780 + 17185803781.

It is an arithmetic number, because the mean of its divisors is an integer number (17185803781).

Almost surely, 234371607561 is an apocalyptic number.

It is an amenable number.

34371607561 is a deficient number, since it is larger than the sum of its proper divisors (1).

34371607561 is an equidigital number, since it uses as much as digits as its factorization.

34371607561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 34371607561 in words is "thirty-four billion, three hundred seventy-one million, six hundred seven thousand, five hundred sixty-one".