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66582433 is a prime number
BaseRepresentation
bin1111110111111…
…1011110100001
311122021201221001
43331333132201
5114021114213
610335032001
71435640611
oct375773641
9148251831
1066582433
1134647405
121a36b601
1310a430b8
148bb2a41
155ca31dd
hex3f7f7a1

66582433 has 2 divisors, whose sum is σ = 66582434. Its totient is φ = 66582432.

The previous prime is 66582431. The next prime is 66582443. The reversal of 66582433 is 33428566.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52012944 + 14569489 = 7212^2 + 3817^2 .

It is a cyclic number.

It is not a de Polignac number, because 66582433 - 21 = 66582431 is a prime.

It is a super-4 number, since 4×665824334 (a number of 32 digits) contains 4444 as substring.

Together with 66582431, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 66582392 and 66582401.

It is not a weakly prime, because it can be changed into another prime (66582431) 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, 33291216 + 33291217.

It is an arithmetic number, because the mean of its divisors is an integer number (33291217).

Almost surely, 266582433 is an apocalyptic number.

It is an amenable number.

66582433 is a deficient number, since it is larger than the sum of its proper divisors (1).

66582433 is an equidigital number, since it uses as much as digits as its factorization.

66582433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 37.

The square root of 66582433 is about 8159.8059413199. The cubic root of 66582433 is about 405.3092856707.

The spelling of 66582433 in words is "sixty-six million, five hundred eighty-two thousand, four hundred thirty-three".