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66387133 is a prime number
BaseRepresentation
bin1111110100111…
…1110010111101
311121220211000201
43331033302331
5113443342013
610330523501
71434165331
oct375176275
9147824021
1066387133
11345236aa
121a296591
13109a5237
148b617c1
155c653dd
hex3f4fcbd

66387133 has 2 divisors, whose sum is σ = 66387134. Its totient is φ = 66387132.

The previous prime is 66387109. The next prime is 66387137. The reversal of 66387133 is 33178366.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64432729 + 1954404 = 8027^2 + 1398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66387133 is a prime.

It is equal to p3917782 and since 66387133 and 3917782 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 66387092 and 66387101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66387137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33193566 + 33193567.

It is an arithmetic number, because the mean of its divisors is an integer number (33193567).

Almost surely, 266387133 is an apocalyptic number.

It is an amenable number.

66387133 is a deficient number, since it is larger than the sum of its proper divisors (1).

66387133 is an equidigital number, since it uses as much as digits as its factorization.

66387133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 37.

The square root of 66387133 is about 8147.8299564976. The cubic root of 66387133 is about 404.9126123501.

The spelling of 66387133 in words is "sixty-six million, three hundred eighty-seven thousand, one hundred thirty-three".