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66762013 is a prime number
BaseRepresentation
bin1111111010101…
…1010100011101
311122121212021011
43332223110131
5114042341023
610342535221
71440316303
oct376532435
9148555234
1066762013
113475a31a
121a437511
1310aa6a66
148c1c273
155cdb50d
hex3fab51d

66762013 has 2 divisors, whose sum is σ = 66762014. Its totient is φ = 66762012.

The previous prime is 66762011. The next prime is 66762041. The reversal of 66762013 is 31026766.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51222649 + 15539364 = 7157^2 + 3942^2 .

It is a cyclic number.

It is not a de Polignac number, because 66762013 - 21 = 66762011 is a prime.

Together with 66762011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66762011) 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, 33381006 + 33381007.

It is an arithmetic number, because the mean of its divisors is an integer number (33381007).

Almost surely, 266762013 is an apocalyptic number.

It is an amenable number.

66762013 is a deficient number, since it is larger than the sum of its proper divisors (1).

66762013 is an equidigital number, since it uses as much as digits as its factorization.

66762013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 66762013 is about 8170.8024697700. The cubic root of 66762013 is about 405.6733461763.

Adding to 66762013 its reverse (31026766), we get a palindrome (97788779).

The spelling of 66762013 in words is "sixty-six million, seven hundred sixty-two thousand, thirteen".