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34075817089 is a prime number
BaseRepresentation
bin11111101111000100…
…111011010010000001
310020221210122212022121
4133233010323102001
51024241402121324
623353151004241
72314300444336
oct375704732201
9106853585277
1034075817089
11134a6a01806
12672bb09681
1332a0910ca2
14191389698d
15d468785e4
hex7ef13b481

34075817089 has 2 divisors, whose sum is σ = 34075817090. Its totient is φ = 34075817088.

The previous prime is 34075817063. The next prime is 34075817107. The reversal of 34075817089 is 98071857043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26997118864 + 7078698225 = 164308^2 + 84135^2 .

It is a cyclic number.

It is not a de Polignac number, because 34075817089 - 217 = 34075686017 is a prime.

It is a super-2 number, since 2×340758170892 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34075815089) 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, 17037908544 + 17037908545.

It is an arithmetic number, because the mean of its divisors is an integer number (17037908545).

Almost surely, 234075817089 is an apocalyptic number.

It is an amenable number.

34075817089 is a deficient number, since it is larger than the sum of its proper divisors (1).

34075817089 is an equidigital number, since it uses as much as digits as its factorization.

34075817089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 34075817089 in words is "thirty-four billion, seventy-five million, eight hundred seventeen thousand, eighty-nine".