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66444675 = 35211431873
BaseRepresentation
bin1111110101110…
…1110110000011
311122000201221220
43331131312003
5114002212200
610332050123
71434525153
oct375356603
9148021856
1066444675
1134562960
121a303943
13109c549b
148b78763
155c774a0
hex3f5dd83

66444675 has 48 divisors (see below), whose sum is σ = 122694528. Its totient is φ = 31449600.

The previous prime is 66444671. The next prime is 66444731. The reversal of 66444675 is 57644466.

It is a happy number.

It is not a de Polignac number, because 66444675 - 22 = 66444671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66444671) 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 47 ways as a sum of consecutive naturals, for example, 34539 + ... + 36411.

It is an arithmetic number, because the mean of its divisors is an integer number (2556136).

Almost surely, 266444675 is an apocalyptic number.

66444675 is a deficient number, since it is larger than the sum of its proper divisors (56249853).

66444675 is a wasteful number, since it uses less digits than its factorization.

66444675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1935 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 66444675 is about 8151.3603159227. The cubic root of 66444675 is about 405.0295665048.

The spelling of 66444675 in words is "sixty-six million, four hundred forty-four thousand, six hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 43 55 75 129 165 215 275 473 645 825 1075 1419 1873 2365 3225 5619 7095 9365 11825 20603 28095 35475 46825 61809 80539 103015 140475 241617 309045 402695 515075 885929 1208085 1545225 2013475 2657787 4429645 6040425 13288935 22148225 66444675