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34893809309 is a prime number
BaseRepresentation
bin100000011111110101…
…010100011010011101
310100001210212011200202
4200133311110122131
51032430303344214
624010251233245
72343462325322
oct403765243235
9110053764622
1034893809309
1113886711437
126919a48825
1333a1223458
141990386b49
15d935a66de
hex81fd5469d

34893809309 has 2 divisors, whose sum is σ = 34893809310. Its totient is φ = 34893809308.

The previous prime is 34893809273. The next prime is 34893809311. The reversal of 34893809309 is 90390839843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32525040409 + 2368768900 = 180347^2 + 48670^2 .

It is an emirp because it is prime and its reverse (90390839843) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34893809309 - 212 = 34893805213 is a prime.

It is a Sophie Germain prime.

Together with 34893809311, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34893809329) 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, 17446904654 + 17446904655.

It is an arithmetic number, because the mean of its divisors is an integer number (17446904655).

Almost surely, 234893809309 is an apocalyptic number.

It is an amenable number.

34893809309 is a deficient number, since it is larger than the sum of its proper divisors (1).

34893809309 is an equidigital number, since it uses as much as digits as its factorization.

34893809309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5038848, while the sum is 56.

The spelling of 34893809309 in words is "thirty-four billion, eight hundred ninety-three million, eight hundred nine thousand, three hundred nine".