Base | Representation |
---|---|
bin | 1111111101101… |
… | …0110000000000 |
3 | 11122222201202112 |
4 | 3333122300000 |
5 | 114120100123 |
6 | 10351034452 |
7 | 1442055560 |
oct | 377326000 |
9 | 148881675 |
10 | 66956288 |
11 | 34882283 |
12 | 1a50ba28 |
13 | 10b44309 |
14 | 8c6cda0 |
15 | 5d28d78 |
hex | 3fdac00 |
66956288 has 44 divisors (see below), whose sum is σ = 152984592. Its totient is φ = 28692480.
The previous prime is 66956237. The next prime is 66956291. The reversal of 66956288 is 88265966.
66956288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
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 3 ways as a sum of consecutive naturals, for example, 2498 + ... + 11838.
Almost surely, 266956288 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 66956288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76492296).
66956288 is an abundant number, since it is smaller than the sum of its proper divisors (86028304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66956288 is an equidigital number, since it uses as much as digits as its factorization.
66956288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9368 (or 9350 counting only the distinct ones).
The product of its digits is 1244160, while the sum is 50.
The square root of 66956288 is about 8182.6822008434. The cubic root of 66956288 is about 406.0664632713.
The spelling of 66956288 in words is "sixty-six million, nine hundred fifty-six thousand, two hundred eighty-eight".
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