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34364505713 is a prime number
BaseRepresentation
bin100000000000010010…
…001011111001110001
310021200220212202122212
4200000102023321301
51030334303140323
623441542341505
72324404323206
oct400022137161
9107626782585
1034364505713
111363495a84a
1267b072a895
13331867b365
14193dd63cad
15d61da0b78
hex80048be71

34364505713 has 2 divisors, whose sum is σ = 34364505714. Its totient is φ = 34364505712.

The previous prime is 34364505683. The next prime is 34364505719. The reversal of 34364505713 is 31750546343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32478167089 + 1886338624 = 180217^2 + 43432^2 .

It is a cyclic number.

It is not a de Polignac number, because 34364505713 - 214 = 34364489329 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34364505719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17182252856 + 17182252857.

It is an arithmetic number, because the mean of its divisors is an integer number (17182252857).

Almost surely, 234364505713 is an apocalyptic number.

It is an amenable number.

34364505713 is a deficient number, since it is larger than the sum of its proper divisors (1).

34364505713 is an equidigital number, since it uses as much as digits as its factorization.

34364505713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 41.

The spelling of 34364505713 in words is "thirty-four billion, three hundred sixty-four million, five hundred five thousand, seven hundred thirteen".