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66047417 is a prime number
BaseRepresentation
bin1111101111110…
…0110110111001
311121021120000122
43323330312321
5113402004132
610315343025
71431252032
oct373746671
9147246018
1066047417
1134311447
121a151a75
13108b6717
148ab3a89
155be9912
hex3efcdb9

66047417 has 2 divisors, whose sum is σ = 66047418. Its totient is φ = 66047416.

The previous prime is 66047369. The next prime is 66047419. The reversal of 66047417 is 71474066.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61136761 + 4910656 = 7819^2 + 2216^2 .

It is a cyclic number.

It is not a de Polignac number, because 66047417 - 26 = 66047353 is a prime.

It is a super-2 number, since 2×660474172 = 8724522584743778, which contains 22 as substring.

Together with 66047419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (66047419) 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, 33023708 + 33023709.

It is an arithmetic number, because the mean of its divisors is an integer number (33023709).

Almost surely, 266047417 is an apocalyptic number.

It is an amenable number.

66047417 is a deficient number, since it is larger than the sum of its proper divisors (1).

66047417 is an equidigital number, since it uses as much as digits as its factorization.

66047417 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 35.

The square root of 66047417 is about 8126.9561952800. The cubic root of 66047417 is about 404.2207584291.

The spelling of 66047417 in words is "sixty-six million, forty-seven thousand, four hundred seventeen".