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34004075713 is a prime number
BaseRepresentation
bin11111101010110011…
…010000010011000001
310020202210200000122121
4133222303100103001
51024120020410323
623342105204241
72312436605656
oct375263202301
9106683600577
1034004075713
111346a461413
12670ba90681
13328bab297a
14190813dc2d
15d40406a5d
hex7eacd04c1

34004075713 has 2 divisors, whose sum is σ = 34004075714. Its totient is φ = 34004075712.

The previous prime is 34004075683. The next prime is 34004075783. The reversal of 34004075713 is 31757040043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29233134529 + 4770941184 = 170977^2 + 69072^2 .

It is a cyclic number.

It is not a de Polignac number, because 34004075713 - 25 = 34004075681 is a prime.

It is not a weakly prime, because it can be changed into another prime (34004075783) 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, 17002037856 + 17002037857.

It is an arithmetic number, because the mean of its divisors is an integer number (17002037857).

Almost surely, 234004075713 is an apocalyptic number.

It is an amenable number.

34004075713 is a deficient number, since it is larger than the sum of its proper divisors (1).

34004075713 is an equidigital number, since it uses as much as digits as its factorization.

34004075713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 34.

The spelling of 34004075713 in words is "thirty-four billion, four million, seventy-five thousand, seven hundred thirteen".