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66644112 = 2431388419
BaseRepresentation
bin1111111000111…
…0100010010000
311122101212112110
43332032202100
5114030102422
610340225320
71436315463
oct376164220
9148355473
1066644112
1134689787
121a39b240
1310a651b2
148bcb2da
155cb660c
hex3f8e890

66644112 has 20 divisors (see below), whose sum is σ = 172164080. Its totient is φ = 22214688.

The previous prime is 66644111. The next prime is 66644113. The reversal of 66644112 is 21144666.

66644112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66644111) and next prime (66644113).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66644112.

It is not an unprimeable number, because it can be changed into a prime (66644111) 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 3 ways as a sum of consecutive naturals, for example, 694162 + ... + 694257.

It is an arithmetic number, because the mean of its divisors is an integer number (8608204).

Almost surely, 266644112 is an apocalyptic number.

It is an amenable number.

66644112 is an abundant number, since it is smaller than the sum of its proper divisors (105519968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66644112 is a wasteful number, since it uses less digits than its factorization.

66644112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388430 (or 1388424 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66644112 is about 8163.5845068205. The cubic root of 66644112 is about 405.4344005342.

Adding to 66644112 its reverse (21144666), we get a palindrome (87788778).

The spelling of 66644112 in words is "sixty-six million, six hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1388419 2776838 4165257 5553676 8330514 11107352 16661028 22214704 33322056 66644112