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2166515017 is a prime number
BaseRepresentation
bin1000000100100010…
…0110010101001001
312120222200100212221
42001020212111021
513414111440032
6554551534041
7104455034212
oct20110462511
95528610787
102166515017
11a11a39887
1250568a321
13286b09364
14167a42409
15ca305597
hex81226549

2166515017 has 2 divisors, whose sum is σ = 2166515018. Its totient is φ = 2166515016.

The previous prime is 2166514997. The next prime is 2166515023. The reversal of 2166515017 is 7105156612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1868054841 + 298460176 = 43221^2 + 17276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2166515017 is a prime.

It is not a weakly prime, because it can be changed into another prime (2166515047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1083257508 + 1083257509.

It is an arithmetic number, because the mean of its divisors is an integer number (1083257509).

Almost surely, 22166515017 is an apocalyptic number.

It is an amenable number.

2166515017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2166515017 is an equidigital number, since it uses as much as digits as its factorization.

2166515017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 2166515017 is about 46545.8378053291. The cubic root of 2166515017 is about 1293.9591557045.

The spelling of 2166515017 in words is "two billion, one hundred sixty-six million, five hundred fifteen thousand, seventeen".