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34971918029 is a prime number
BaseRepresentation
bin100000100100011111…
…010001111011001101
310100021020211111201022
4200210133101323031
51033110302334104
624022121323525
72345431253456
oct404437217315
9110236744638
1034971918029
11139168106a4
1269400365a5
1333b4470a29
14199a8ba12d
15d9a384bbe
hex8247d1ecd

34971918029 has 2 divisors, whose sum is σ = 34971918030. Its totient is φ = 34971918028.

The previous prime is 34971917993. The next prime is 34971918031. The reversal of 34971918029 is 92081917943.

34971918029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19022753929 + 15949164100 = 137923^2 + 126290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34971918029 is a prime.

Together with 34971918031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34971918049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17485959014 + 17485959015.

It is an arithmetic number, because the mean of its divisors is an integer number (17485959015).

Almost surely, 234971918029 is an apocalyptic number.

It is an amenable number.

34971918029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34971918029 is an equidigital number, since it uses as much as digits as its factorization.

34971918029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 979776, while the sum is 53.

The spelling of 34971918029 in words is "thirty-four billion, nine hundred seventy-one million, nine hundred eighteen thousand, twenty-nine".