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34166346017 is a prime number
BaseRepresentation
bin11111110100011110…
…010001000100100001
310021012010000012122212
4133310132101010201
51024433041033032
623410143211505
72316450102146
oct376436210441
9107163005585
1034166346017
1113543014501
1267562a6b95
1332b65b98bb
1419219003cd
15d4e7abbb2
hex7f4791121

34166346017 has 2 divisors, whose sum is σ = 34166346018. Its totient is φ = 34166346016.

The previous prime is 34166346007. The next prime is 34166346029. The reversal of 34166346017 is 71064366143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25665321616 + 8501024401 = 160204^2 + 92201^2 .

It is a cyclic number.

It is not a de Polignac number, because 34166346017 - 218 = 34166083873 is a prime.

It is not a weakly prime, because it can be changed into another prime (34166346007) 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, 17083173008 + 17083173009.

It is an arithmetic number, because the mean of its divisors is an integer number (17083173009).

Almost surely, 234166346017 is an apocalyptic number.

It is an amenable number.

34166346017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34166346017 is an equidigital number, since it uses as much as digits as its factorization.

34166346017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 34166346017 in words is "thirty-four billion, one hundred sixty-six million, three hundred forty-six thousand, seventeen".