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66038317 is a prime number
BaseRepresentation
bin1111101111101…
…0101000101101
311121021002112121
43323322220231
5113401211232
610315232541
71431213352
oct373725055
9147232477
1066038317
1134305624
121a148751
13108b2537
148ab0629
155be6d97
hex3efaa2d

66038317 has 2 divisors, whose sum is σ = 66038318. Its totient is φ = 66038316.

The previous prime is 66038299. The next prime is 66038321. The reversal of 66038317 is 71383066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54552996 + 11485321 = 7386^2 + 3389^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66038317 is a prime.

It is a super-2 number, since 2×660383172 = 8722118624384978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66038117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33019158 + 33019159.

It is an arithmetic number, because the mean of its divisors is an integer number (33019159).

Almost surely, 266038317 is an apocalyptic number.

It is an amenable number.

66038317 is a deficient number, since it is larger than the sum of its proper divisors (1).

66038317 is an equidigital number, since it uses as much as digits as its factorization.

66038317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 66038317 is about 8126.3963107887. The cubic root of 66038317 is about 404.2021930911.

The spelling of 66038317 in words is "sixty-six million, thirty-eight thousand, three hundred seventeen".