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66122973 = 35738873
BaseRepresentation
bin1111110000111…
…1010011011101
311121102101200000
43330033103131
5113411413343
610321124513
71432015230
oct374172335
9147371600
1066122973
1134363194
121a189739
1310911c27
148ad3417
155c11ed3
hex3f0f4dd

66122973 has 24 divisors (see below), whose sum is σ = 113201088. Its totient is φ = 37783584.

The previous prime is 66122951. The next prime is 66122977. The reversal of 66122973 is 37922166.

It is not a de Polignac number, because 66122973 - 26 = 66122909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66122977) 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 in 23 ways as a sum of consecutive naturals, for example, 17736 + ... + 21137.

It is an arithmetic number, because the mean of its divisors is an integer number (4716712).

Almost surely, 266122973 is an apocalyptic number.

66122973 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

66122973 is a deficient number, since it is larger than the sum of its proper divisors (47078115).

66122973 is an equidigital number, since it uses as much as digits as its factorization.

66122973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38895 (or 38883 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 66122973 is about 8131.6033474340. The cubic root of 66122973 is about 404.3748379593.

The spelling of 66122973 in words is "sixty-six million, one hundred twenty-two thousand, nine hundred seventy-three".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 38873 116619 272111 349857 816333 1049571 2448999 3148713 7346997 9446139 22040991 66122973