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66332313 = 3256912953
BaseRepresentation
bin1111110100001…
…0011010011001
311121211000211100
43331002122121
5113440113223
610325422013
71433546445
oct375023231
9147730740
1066332313
11344964a3
121a26a909
13109862b8
148b49825
155c54043
hex3f42699

66332313 has 12 divisors (see below), whose sum is σ = 95989140. Its totient is φ = 44140416.

The previous prime is 66332311. The next prime is 66332327. The reversal of 66332313 is 31323366.

66332313 is a `hidden beast` number, since 6 + 633 + 23 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8450649 + 57881664 = 2907^2 + 7608^2 .

It is not a de Polignac number, because 66332313 - 21 = 66332311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66332311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356 + ... + 11597.

It is an arithmetic number, because the mean of its divisors is an integer number (7999095).

Almost surely, 266332313 is an apocalyptic number.

It is an amenable number.

66332313 is a deficient number, since it is larger than the sum of its proper divisors (29656827).

66332313 is a wasteful number, since it uses less digits than its factorization.

66332313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13528 (or 13525 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 66332313 is about 8144.4651758111. The cubic root of 66332313 is about 404.8011277842.

Adding to 66332313 its reverse (31323366), we get a palindrome (97655679).

The spelling of 66332313 in words is "sixty-six million, three hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 569 1707 5121 12953 38859 116577 7370257 22110771 66332313