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34046165017 is a prime number
BaseRepresentation
bin11111101101010011…
…110100000000011001
310020212201212101022201
4133231103310000121
51024211304240032
623350211250201
72313460425214
oct375523640031
9106781771281
1034046165017
1113491199767
126721ba9961
13329772b497
14190d97877b
15d43e6c8e7
hex7ed4f4019

34046165017 has 2 divisors, whose sum is σ = 34046165018. Its totient is φ = 34046165016.

The previous prime is 34046165003. The next prime is 34046165063. The reversal of 34046165017 is 71056164043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32820394896 + 1225770121 = 181164^2 + 35011^2 .

It is a cyclic number.

It is not a de Polignac number, because 34046165017 - 219 = 34045640729 is a prime.

It is a super-2 number, since 2×340461650172 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34046165117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17023082508 + 17023082509.

It is an arithmetic number, because the mean of its divisors is an integer number (17023082509).

Almost surely, 234046165017 is an apocalyptic number.

It is an amenable number.

34046165017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34046165017 is an equidigital number, since it uses as much as digits as its factorization.

34046165017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 34046165017 in words is "thirty-four billion, forty-six million, one hundred sixty-five thousand, seventeen".