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66630912 = 283101859
BaseRepresentation
bin1111111000101…
…1010100000000
311122101012102120
43332023110000
5114024142122
610340044240
71436232135
oct376132400
9148335376
1066630912
113467a877
121a393680
1310a5c19a
148bc658c
155cb275c
hex3f8b500

66630912 has 72 divisors (see below), whose sum is σ = 179299680. Its totient is φ = 21964800.

The previous prime is 66630899. The next prime is 66630919. The reversal of 66630912 is 21903666.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66630919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77139 + ... + 77997.

Almost surely, 266630912 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 66630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89649840).

66630912 is an abundant number, since it is smaller than the sum of its proper divisors (112668768).

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

66630912 is a wasteful number, since it uses less digits than its factorization.

66630912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 66630912 is about 8162.7759983966. The cubic root of 66630912 is about 405.4076310403.

The spelling of 66630912 in words is "sixty-six million, six hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 859 1212 1616 1718 2424 2577 3232 3436 4848 5154 6464 6872 9696 10308 12928 13744 19392 20616 25856 27488 38784 41232 54976 77568 82464 86759 109952 164928 173518 219904 260277 329856 347036 520554 659712 694072 1041108 1388144 2082216 2776288 4164432 5552576 8328864 11105152 16657728 22210304 33315456 66630912