Base | Representation |
---|---|
bin | 1111111101111… |
… | …0010000100000 |
3 | 11200000110110200 |
4 | 3333132100200 |
5 | 114121030111 |
6 | 10351225200 |
7 | 1442145504 |
oct | 377362040 |
9 | 150013420 |
10 | 66970656 |
11 | 34892055 |
12 | 1a518200 |
13 | 10b4aa0c |
14 | 8c74304 |
15 | 5d2d256 |
hex | 3fde420 |
66970656 has 72 divisors (see below), whose sum is σ = 192052224. Its totient is φ = 22135680.
The previous prime is 66970637. The next prime is 66970699. The reversal of 66970656 is 65607966.
It is a tau number, because it is divible by the number of its divisors (72).
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, 35661 + ... + 37491.
It is an arithmetic number, because the mean of its divisors is an integer number (2667392).
Almost surely, 266970656 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 66970656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96026112).
66970656 is an abundant number, since it is smaller than the sum of its proper divisors (125081568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66970656 is a wasteful number, since it uses less digits than its factorization.
66970656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1974 (or 1963 counting only the distinct ones).
The product of its (nonzero) digits is 408240, while the sum is 45.
The square root of 66970656 is about 8183.5601054798. The cubic root of 66970656 is about 406.0955068251.
The spelling of 66970656 in words is "sixty-six million, nine hundred seventy thousand, six hundred fifty-six".
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