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66724133 = 731711443
BaseRepresentation
bin1111111010001…
…0000100100101
311122112221022012
43332202010211
5114040133013
610342044005
71440101000
oct376420445
9148487265
1066724133
1134733913
121a419605
1310a92748
148c0c537
155cd01a8
hex3fa2125

66724133 has 16 divisors (see below), whose sum is σ = 82396800. Its totient is φ = 53823168.

The previous prime is 66724129. The next prime is 66724159. The reversal of 66724133 is 33142766.

66724133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66724133 - 22 = 66724129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66724133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66724123) 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 in 15 ways as a sum of consecutive naturals, for example, 110 + ... + 11552.

It is an arithmetic number, because the mean of its divisors is an integer number (5149800).

Almost surely, 266724133 is an apocalyptic number.

It is an amenable number.

66724133 is a deficient number, since it is larger than the sum of its proper divisors (15672667).

66724133 is a wasteful number, since it uses less digits than its factorization.

66724133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481 (or 11467 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 66724133 is about 8168.4841310980. The cubic root of 66724133 is about 405.5966068604.

Adding to 66724133 its reverse (33142766), we get a palindrome (99866899).

The spelling of 66724133 in words is "sixty-six million, seven hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 7 17 49 119 343 833 5831 11443 80101 194531 560707 1361717 3924949 9532019 66724133