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34106166349 is a prime number
BaseRepresentation
bin11111110000111000…
…101100110001001101
310021000220202202200021
4133300320230301031
51024322134310344
623400153302141
72315116426213
oct376070546115
9107026682607
1034106166349
1113512050642
12673a104951
1332a6ca8c28
141917916cb3
15d49370b84
hex7f0e2cc4d

34106166349 has 2 divisors, whose sum is σ = 34106166350. Its totient is φ = 34106166348.

The previous prime is 34106166299. The next prime is 34106166373. The reversal of 34106166349 is 94366160143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23991841449 + 10114324900 = 154893^2 + 100570^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34106166349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34106166379) 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, 17053083174 + 17053083175.

It is an arithmetic number, because the mean of its divisors is an integer number (17053083175).

Almost surely, 234106166349 is an apocalyptic number.

It is an amenable number.

34106166349 is a deficient number, since it is larger than the sum of its proper divisors (1).

34106166349 is an equidigital number, since it uses as much as digits as its factorization.

34106166349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 34106166349 in words is "thirty-four billion, one hundred six million, one hundred sixty-six thousand, three hundred forty-nine".