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171016417409 is a prime number
BaseRepresentation
bin1001111101000101011…
…1110111000010000001
3121100102102120010200112
42133101113313002001
510300220200324114
6210321443201105
715232642364135
oct2372127670201
9540372503615
10171016417409
1166589344662
1229189076195
13131856c1ac6
1483c4a593c5
1546adbc113e
hex27d15f7081

171016417409 has 2 divisors, whose sum is σ = 171016417410. Its totient is φ = 171016417408.

The previous prime is 171016417393. The next prime is 171016417457. The reversal of 171016417409 is 904714610171.

171016417409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115904159809 + 55112257600 = 340447^2 + 234760^2 .

It is a cyclic number.

It is not a de Polignac number, because 171016417409 - 24 = 171016417393 is a prime.

It is not a weakly prime, because it can be changed into another prime (171016417609) 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, 85508208704 + 85508208705.

It is an arithmetic number, because the mean of its divisors is an integer number (85508208705).

Almost surely, 2171016417409 is an apocalyptic number.

It is an amenable number.

171016417409 is a deficient number, since it is larger than the sum of its proper divisors (1).

171016417409 is an equidigital number, since it uses as much as digits as its factorization.

171016417409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 41.

The spelling of 171016417409 in words is "one hundred seventy-one billion, sixteen million, four hundred seventeen thousand, four hundred nine".