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66114641 is a prime number
BaseRepresentation
bin1111110000110…
…1010001010001
311121101222020102
43330031101101
5113411132031
610321022145
71431652025
oct374152121
9147358212
1066114641
11343579aa
121a184955
131090b1b8
148ad0385
155c0e7cb
hex3f0d451

66114641 has 2 divisors, whose sum is σ = 66114642. Its totient is φ = 66114640.

The previous prime is 66114613. The next prime is 66114689. The reversal of 66114641 is 14641166.

66114641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45900625 + 20214016 = 6775^2 + 4496^2 .

It is a cyclic number.

It is not a de Polignac number, because 66114641 - 210 = 66113617 is a prime.

It is a super-2 number, since 2×661146412 = 8742291509117762, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (66114611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33057320 + 33057321.

It is an arithmetic number, because the mean of its divisors is an integer number (33057321).

Almost surely, 266114641 is an apocalyptic number.

It is an amenable number.

66114641 is a deficient number, since it is larger than the sum of its proper divisors (1).

66114641 is an equidigital number, since it uses as much as digits as its factorization.

66114641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

The square root of 66114641 is about 8131.0910092066. The cubic root of 66114641 is about 404.3578524724.

The spelling of 66114641 in words is "sixty-six million, one hundred fourteen thousand, six hundred forty-one".