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66029261 is a prime number
BaseRepresentation
bin1111101111100…
…0011011001101
311121020122010012
43323320123031
5113400414021
610315123005
71431145064
oct373703315
9147218105
1066029261
11342a9841
121a143465
13108ab38c
148aab1db
155be435b
hex3ef86cd

66029261 has 2 divisors, whose sum is σ = 66029262. Its totient is φ = 66029260.

The previous prime is 66029191. The next prime is 66029263. The reversal of 66029261 is 16292066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39300361 + 26728900 = 6269^2 + 5170^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66029261 is a prime.

It is a super-2 number, since 2×660292612 = 8719726616412242, which contains 22 as substring.

Together with 66029263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66029263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33014630 + 33014631.

It is an arithmetic number, because the mean of its divisors is an integer number (33014631).

Almost surely, 266029261 is an apocalyptic number.

It is an amenable number.

66029261 is a deficient number, since it is larger than the sum of its proper divisors (1).

66029261 is an equidigital number, since it uses as much as digits as its factorization.

66029261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 66029261 is about 8125.8390951335. The cubic root of 66029261 is about 404.1837158264.

The spelling of 66029261 in words is "sixty-six million, twenty-nine thousand, two hundred sixty-one".