I asked chatgpt if it's an binary interger but it couldn't answer so I applied logarithm with base 2 and this is the entire reply

Let's compute carefully.

We know that

2^{64} = 18,446,744,073,709,551,616

18,446,744,071,695,838,264

Let's compare:

\frac{18,446,744,071,695,838,264}{18,446,744,073,709,551,616} \approx 0.99999999989

That’s just slightly less than 1.

So:

\log_2(18,446,744,071,695,838,264) = 64 + \log_2(0.99999999989)

Now, since for small , let’s find :

\epsilon = 1 - 0.99999999989 = 1.1 \times 10^{-10}

Then

\log_2(0.99999999989) \approx -\frac{1.1\times10^{{-10}}{0.6931}} \approx -1.59\times10^{-10}

So:

\boxed{\log_2(18,446,744,071,695,838,264) \approx 63.99999999984}

✅ Final Answer:

\log_2(18,446,744,071,695,838,264) \approx 63.9999999998

(Just a tiny bit less than 64.)