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66313369 is a prime number
BaseRepresentation
bin1111110011110…
…1110010011001
311121210001211201
43330331302121
5113434011434
610325154201
71433440303
oct374756231
9147701751
1066313369
1134483241
121a25b961
131097a7a5
148b42973
155c4d614
hex3f3dc99

66313369 has 2 divisors, whose sum is σ = 66313370. Its totient is φ = 66313368.

The previous prime is 66313349. The next prime is 66313391. The reversal of 66313369 is 96331366.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46063369 + 20250000 = 6787^2 + 4500^2 .

It is a cyclic number.

It is not a de Polignac number, because 66313369 - 25 = 66313337 is a prime.

It is a super-2 number, since 2×663133692 = 8794925816260322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (66313339) 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, 33156684 + 33156685.

It is an arithmetic number, because the mean of its divisors is an integer number (33156685).

Almost surely, 266313369 is an apocalyptic number.

It is an amenable number.

66313369 is a deficient number, since it is larger than the sum of its proper divisors (1).

66313369 is an equidigital number, since it uses as much as digits as its factorization.

66313369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52488, while the sum is 37.

The square root of 66313369 is about 8143.3020943595. The cubic root of 66313369 is about 404.7625880823.

It can be divided in two parts, 6631 and 3369, that added together give a 4-th power (10000 = 104).

The spelling of 66313369 in words is "sixty-six million, three hundred thirteen thousand, three hundred sixty-nine".