Base | Representation |
---|---|
bin | 1111101111000… |
… | …1010010001100 |
3 | 11121012010222220 |
4 | 3323301102030 |
5 | 113344000022 |
6 | 10314335340 |
7 | 1430663601 |
oct | 373612214 |
9 | 147163886 |
10 | 66000012 |
11 | 34289871 |
12 | 1a12a550 |
13 | 1089ac80 |
14 | 8aa06a8 |
15 | 5bda85c |
hex | 3ef148c |
66000012 has 48 divisors (see below), whose sum is σ = 169720320. Its totient is φ = 19833408.
The previous prime is 66000007. The next prime is 66000013. The reversal of 66000012 is 21000066.
It is a zygodrome in base 5.
It is a junction number, because it is equal to n+sod(n) for n = 65999955 and 66000000.
It is not an unprimeable number, because it can be changed into a prime (66000013) 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, 1789 + ... + 11627.
It is an arithmetic number, because the mean of its divisors is an integer number (3535840).
Almost surely, 266000012 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 66000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84860160).
66000012 is an abundant number, since it is smaller than the sum of its proper divisors (103720308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66000012 is a wasteful number, since it uses less digits than its factorization.
66000012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9902 (or 9900 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 66000012 is about 8124.0391431849. The cubic root of 66000012 is about 404.1240265546.
Adding to 66000012 its reverse (21000066), we get a palindrome (87000078).
The spelling of 66000012 in words is "sixty-six million, twelve", and thus it is an aban number and an uban number.
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