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34936067057 is a prime number
BaseRepresentation
bin100000100010010110…
…100001001111110001
310100011202101002102112
4200202112201033301
51033022113121212
624014401055105
72344514445623
oct404226411761
9110152332375
1034936067057
11138a85542a1
126930027495
1333a9bca838
141995c26c13
15d97152422
hex8225a13f1

34936067057 has 2 divisors, whose sum is σ = 34936067058. Its totient is φ = 34936067056.

The previous prime is 34936067029. The next prime is 34936067059. The reversal of 34936067057 is 75076063943.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34933105216 + 2961841 = 186904^2 + 1721^2 .

It is a cyclic number.

It is not a de Polignac number, because 34936067057 - 212 = 34936062961 is a prime.

It is a super-2 number, since 2×349360670572 (a number of 22 digits) contains 22 as substring.

Together with 34936067059, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34936066996 and 34936067014.

It is not a weakly prime, because it can be changed into another prime (34936067059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17468033528 + 17468033529.

It is an arithmetic number, because the mean of its divisors is an integer number (17468033529).

Almost surely, 234936067057 is an apocalyptic number.

It is an amenable number.

34936067057 is a deficient number, since it is larger than the sum of its proper divisors (1).

34936067057 is an equidigital number, since it uses as much as digits as its factorization.

34936067057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2857680, while the sum is 50.

The spelling of 34936067057 in words is "thirty-four billion, nine hundred thirty-six million, sixty-seven thousand, fifty-seven".