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66544144 = 2426915461
BaseRepresentation
bin1111110111011…
…0001000010000
311122012210101221
43331312020100
5114013403034
610334134424
71435421152
oct375661020
9148183357
1066544144
1134620667
121a351414
1310a2b844
148ba2ad2
155c96bb4
hex3f76210

66544144 has 20 divisors (see below), whose sum is σ = 129416940. Its totient is φ = 33146240.

The previous prime is 66544139. The next prime is 66544147. The reversal of 66544144 is 44144566.

66544144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 58064400 = 2912^2 + 7620^2 .

It is not an unprimeable number, because it can be changed into a prime (66544147) 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, 3427 + ... + 12034.

It is an arithmetic number, because the mean of its divisors is an integer number (6470847).

Almost surely, 266544144 is an apocalyptic number.

It is an amenable number.

66544144 is a deficient number, since it is larger than the sum of its proper divisors (62872796).

66544144 is a wasteful number, since it uses less digits than its factorization.

66544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15738 (or 15732 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 66544144 is about 8157.4594084188. The cubic root of 66544144 is about 405.2315781721.

The spelling of 66544144 in words is "sixty-six million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 269 538 1076 2152 4304 15461 30922 61844 123688 247376 4159009 8318018 16636036 33272072 66544144