The last 13 bits of the product of several continuous natural numbers 1,2,3... Are all 0. What is the largest word number?

The last 13 bits of the product of several continuous natural numbers 1,2,3... Are all 0. What is the largest word number?


That is to say, it can be broken down into five,
(13-1) / 2 = 6, so there are 13 factors of 5 within 60
So the biggest 64



Some continuous natural numbers 1,2,3 The last 13 bits of the product of are all 0, and what is the largest natural number
It's the largest natural number 59, right


It's 45
Let's look at 1 times 45, a total of 9 multiples of 5, a multiple of 25, there are already 10 zeros, so it's enough to multiply 45



In this paper, several natural numbers 1,2,3 If the last 13 bits of the product are all known to be zero
So what's the maximum natural number?


The last 13 bits of this product are exactly zero
The factor 5 has and only has 13
13 △ 5 = 2... 3. And 2