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66314313 = 321319231297
BaseRepresentation
bin1111110011111…
…0000001001001
311121210010010200
43330332001021
5113434024223
610325202413
71433443122
oct374760111
9147703120
1066314313
1134483a1a
121a260409
131097b050
148b43049
155c4da43
hex3f3e049

66314313 has 48 divisors (see below), whose sum is σ = 113393280. Its totient is φ = 36951552.

The previous prime is 66314293. The next prime is 66314317. The reversal of 66314313 is 31341366.

It is not a de Polignac number, because 66314313 - 28 = 66314057 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66314317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50481 + ... + 51777.

It is an arithmetic number, because the mean of its divisors is an integer number (2362360).

Almost surely, 266314313 is an apocalyptic number.

It is an amenable number.

66314313 is a deficient number, since it is larger than the sum of its proper divisors (47078967).

66314313 is a wasteful number, since it uses less digits than its factorization.

66314313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1355 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 66314313 is about 8143.3600558983. The cubic root of 66314313 is about 404.7645087311.

Adding to 66314313 its reverse (31341366), we get a palindrome (97655679).

The spelling of 66314313 in words is "sixty-six million, three hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 9 13 19 23 39 57 69 117 171 207 247 299 437 741 897 1297 1311 2223 2691 3891 3933 5681 11673 16861 17043 24643 29831 50583 51129 73929 89493 151749 221787 268479 320359 387803 566789 961077 1163409 1700367 2883231 3490227 5101101 7368257 22104771 66314313