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66011728 = 2429314081
BaseRepresentation
bin1111101111010…
…0001001010000
311121012202001211
43323310021100
5113344333403
610314505504
71431043006
oct373641120
9147182054
1066011728
1134297652
121a135294
13108a33c3
148aa4a76
155bde06d
hex3ef4250

66011728 has 20 divisors (see below), whose sum is σ = 128343348. Its totient is φ = 32890880.

The previous prime is 66011723. The next prime is 66011747. The reversal of 66011728 is 82711066.

66011728 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 59105344 + 6906384 = 7688^2 + 2628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66011728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66011723) 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, 2353 + ... + 11728.

Almost surely, 266011728 is an apocalyptic number.

It is an amenable number.

66011728 is a deficient number, since it is larger than the sum of its proper divisors (62331620).

66011728 is a wasteful number, since it uses less digits than its factorization.

66011728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14382 (or 14376 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 66011728 is about 8124.7601810761. The cubic root of 66011728 is about 404.1479378480.

The spelling of 66011728 in words is "sixty-six million, eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 293 586 1172 2344 4688 14081 28162 56324 112648 225296 4125733 8251466 16502932 33005864 66011728