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34198211609 is a prime number
BaseRepresentation
bin11111110110010111…
…110100110000011001
310021021022222011000222
4133312113310300121
51030014220232414
623413242205425
72320315000562
oct376627646031
9107238864028
1034198211609
1113559aa9601
126764ab3875
1332c0095a93
141925c37169
15d524a368e
hex7f65f4c19

34198211609 has 2 divisors, whose sum is σ = 34198211610. Its totient is φ = 34198211608.

The previous prime is 34198211591. The next prime is 34198211617. The reversal of 34198211609 is 90611289143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33369059584 + 829152025 = 182672^2 + 28795^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34198211609 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34198211609.

It is not a weakly prime, because it can be changed into another prime (34198211629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17099105804 + 17099105805.

It is an arithmetic number, because the mean of its divisors is an integer number (17099105805).

Almost surely, 234198211609 is an apocalyptic number.

It is an amenable number.

34198211609 is a deficient number, since it is larger than the sum of its proper divisors (1).

34198211609 is an equidigital number, since it uses as much as digits as its factorization.

34198211609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 34198211609 in words is "thirty-four billion, one hundred ninety-eight million, two hundred eleven thousand, six hundred nine".