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66412033 is a prime number
BaseRepresentation
bin1111110101010…
…1111000000001
311121222002011221
43331111320001
5114000141113
610331235041
71434331042
oct375257001
9147862157
1066412033
1134540386
121a2a8a81
13109b367c
148b6a8c9
155c6c98d
hex3f55e01

66412033 has 2 divisors, whose sum is σ = 66412034. Its totient is φ = 66412032.

The previous prime is 66412009. The next prime is 66412057. The reversal of 66412033 is 33021466.

It is a balanced prime because it is at equal distance from previous prime (66412009) and next prime (66412057).

It can be written as a sum of positive squares in only one way, i.e., 65658609 + 753424 = 8103^2 + 868^2 .

It is a cyclic number.

It is not a de Polignac number, because 66412033 - 217 = 66280961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66411989 and 66412007.

It is not a weakly prime, because it can be changed into another prime (66412133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33206016 + 33206017.

It is an arithmetic number, because the mean of its divisors is an integer number (33206017).

Almost surely, 266412033 is an apocalyptic number.

It is an amenable number.

66412033 is a deficient number, since it is larger than the sum of its proper divisors (1).

66412033 is an equidigital number, since it uses as much as digits as its factorization.

66412033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 66412033 is about 8149.3578274610. The cubic root of 66412033 is about 404.9632299087.

Adding to 66412033 its reverse (33021466), we get a palindrome (99433499).

The spelling of 66412033 in words is "sixty-six million, four hundred twelve thousand, thirty-three".