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66083316 = 22313479013
BaseRepresentation
bin1111110000010…
…1100111110100
311121100101021020
43330011213310
5113404131231
610320221140
71431461505
oct374054764
9147311236
1066083316
1134336412
121a16a7b0
13108c9b70
148ac2bac
155c05396
hex3f059f4

66083316 has 48 divisors (see below), whose sum is σ = 169607424. Its totient is φ = 19898496.

The previous prime is 66083299. The next prime is 66083317. The reversal of 66083316 is 61338066.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66083317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826 + ... + 11838.

It is an arithmetic number, because the mean of its divisors is an integer number (3533488).

Almost surely, 266083316 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 66083316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84803712).

66083316 is an abundant number, since it is smaller than the sum of its proper divisors (103524108).

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

66083316 is a wasteful number, since it uses less digits than its factorization.

66083316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 66083316 is about 8129.1645327180. The cubic root of 66083316 is about 404.2939810388.

The spelling of 66083316 in words is "sixty-six million, eighty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 9013 18026 27039 36052 54078 108156 117169 234338 351507 423611 468676 703014 847222 1270833 1406028 1694444 2541666 5083332 5506943 11013886 16520829 22027772 33041658 66083316