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34113564677 is a prime number
BaseRepresentation
bin11111110001010100…
…111011000000000101
310021001102200122021102
4133301110323000011
51024331033032202
623401020025445
72315236341533
oct376124730005
9107042618242
1034113564677
1113516244065
126740692285
1332a869953a
1419188c1153
15d49d32d02
hex7f153b005

34113564677 has 2 divisors, whose sum is σ = 34113564678. Its totient is φ = 34113564676.

The previous prime is 34113564637. The next prime is 34113564733. The reversal of 34113564677 is 77646531143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33903488641 + 210076036 = 184129^2 + 14494^2 .

It is a cyclic number.

It is not a de Polignac number, because 34113564677 - 26 = 34113564613 is a prime.

It is a super-2 number, since 2×341135646772 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34113564637) 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, 17056782338 + 17056782339.

It is an arithmetic number, because the mean of its divisors is an integer number (17056782339).

Almost surely, 234113564677 is an apocalyptic number.

It is an amenable number.

34113564677 is a deficient number, since it is larger than the sum of its proper divisors (1).

34113564677 is an equidigital number, since it uses as much as digits as its factorization.

34113564677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 47.

The spelling of 34113564677 in words is "thirty-four billion, one hundred thirteen million, five hundred sixty-four thousand, six hundred seventy-seven".