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6417160417 is a prime number
BaseRepresentation
bin1011111100111111…
…00001100011100001
3121120020000112012001
411332133201203201
5101120243113132
62540434004001
7315010651333
oct57637414341
917506015161
106417160417
1127a3357668
1212b1116601
137b3638155
1444c39d453
1527858ace7
hex17e7e18e1

6417160417 has 2 divisors, whose sum is σ = 6417160418. Its totient is φ = 6417160416.

The previous prime is 6417160361. The next prime is 6417160433. The reversal of 6417160417 is 7140617146.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6015398481 + 401761936 = 77559^2 + 20044^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6417160417 is a prime.

It is a super-2 number, since 2×64171604172 = 82359895635023227778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6417166417) 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, 3208580208 + 3208580209.

It is an arithmetic number, because the mean of its divisors is an integer number (3208580209).

Almost surely, 26417160417 is an apocalyptic number.

It is an amenable number.

6417160417 is a deficient number, since it is larger than the sum of its proper divisors (1).

6417160417 is an equidigital number, since it uses as much as digits as its factorization.

6417160417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 6417160417 is about 80107.1808079650. The cubic root of 6417160417 is about 1858.2934608501.

The spelling of 6417160417 in words is "six billion, four hundred seventeen million, one hundred sixty thousand, four hundred seventeen".