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66498912 = 2532733163
BaseRepresentation
bin1111110110101…
…1000101100000
311122010111100200
43331223011200
5114010431122
610333145200
71435142244
oct375530540
9148114320
1066498912
113459a687
121a32b200
1310a1408c
148b90424
155c885ac
hex3f6b160

66498912 has 72 divisors (see below), whose sum is σ = 191757384. Its totient is φ = 21855744.

The previous prime is 66498869. The next prime is 66498923. The reversal of 66498912 is 21989466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19443 + ... + 22605.

It is an arithmetic number, because the mean of its divisors is an integer number (2663297).

Almost surely, 266498912 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 66498912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95878692).

66498912 is an abundant number, since it is smaller than the sum of its proper divisors (125258472).

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

66498912 is a wasteful number, since it uses less digits than its factorization.

66498912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3241 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 66498912 is about 8154.6865053170. The cubic root of 66498912 is about 405.1397414442.

The spelling of 66498912 in words is "sixty-six million, four hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3163 3504 5256 6326 7008 9489 10512 12652 18978 21024 25304 28467 37956 50608 56934 75912 101216 113868 151824 227736 230899 303648 455472 461798 692697 910944 923596 1385394 1847192 2078091 2770788 3694384 4156182 5541576 7388768 8312364 11083152 16624728 22166304 33249456 66498912