Search a number
-
+
34375091521 is a prime number
BaseRepresentation
bin100000000000111010…
…100100010101000001
310021201122210120122211
4200000322210111001
51030400010412041
623443001302121
72324563312501
oct400072442501
9107648716584
1034375091521
111363a930051
1267b4194941
13331a916754
14194151ba01
15d62c92481
hex800ea4541

34375091521 has 2 divisors, whose sum is σ = 34375091522. Its totient is φ = 34375091520.

The previous prime is 34375091503. The next prime is 34375091533. The reversal of 34375091521 is 12519057343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18784073025 + 15591018496 = 137055^2 + 124864^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34375091521 is a prime.

It is not a weakly prime, because it can be changed into another prime (34375091501) 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, 17187545760 + 17187545761.

It is an arithmetic number, because the mean of its divisors is an integer number (17187545761).

Almost surely, 234375091521 is an apocalyptic number.

It is an amenable number.

34375091521 is a deficient number, since it is larger than the sum of its proper divisors (1).

34375091521 is an equidigital number, since it uses as much as digits as its factorization.

34375091521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 34375091521 in words is "thirty-four billion, three hundred seventy-five million, ninety-one thousand, five hundred twenty-one".