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66095016 = 23313349607
BaseRepresentation
bin1111110000100…
…0011110101000
311121100222022120
43330020132220
5113410020031
610320351240
71431540561
oct374103650
9147328276
1066095016
1134344189
121a175520
13109022a0
148ac7168
155c08a96
hex3f087a8

66095016 has 64 divisors (see below), whose sum is σ = 178752000. Its totient is φ = 20245248.

The previous prime is 66095011. The next prime is 66095023. The reversal of 66095016 is 61059066.

66095016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×660950163 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (66095011) 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 15 ways as a sum of consecutive naturals, for example, 108585 + ... + 109191.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 266095016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66095016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376000).

66095016 is an abundant number, since it is smaller than the sum of its proper divisors (112656984).

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

66095016 is a wasteful number, since it uses less digits than its factorization.

66095016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 66095016 is about 8129.8841320157. The cubic root of 66095016 is about 404.3178396097.

The spelling of 66095016 in words is "sixty-six million, ninety-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 349 607 698 1047 1214 1396 1821 2094 2428 2792 3642 4188 4537 4856 7284 7891 8376 9074 13611 14568 15782 18148 23673 27222 31564 36296 47346 54444 63128 94692 108888 189384 211843 423686 635529 847372 1271058 1694744 2542116 2753959 5084232 5507918 8261877 11015836 16523754 22031672 33047508 66095016