Base | Representation |
---|---|
bin | 1111011101110… |
… | …0010110000000 |
3 | 11112001111222000 |
4 | 3313130112000 |
5 | 113101200124 |
6 | 10234144000 |
7 | 1415230503 |
oct | 367342600 |
9 | 145044860 |
10 | 64865664 |
11 | 33684596 |
12 | 19882000 |
13 | 10591866 |
14 | 888713a |
15 | 5a646c9 |
hex | 3ddc580 |
64865664 has 96 divisors (see below), whose sum is σ = 192851400. Its totient is φ = 21464064.
The previous prime is 64865657. The next prime is 64865711. The reversal of 64865664 is 46656846.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
64865664 is a `hidden beast` number, since 6 + 4 + 86 + 566 + 4 = 666.
64865664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×648656643 (a number of 24 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
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 11 ways as a sum of consecutive naturals, for example, 473404 + ... + 473540.
Almost surely, 264865664 is an apocalyptic number.
64865664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 64865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96425700).
64865664 is an abundant number, since it is smaller than the sum of its proper divisors (127985736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64865664 is an equidigital number, since it uses as much as digits as its factorization.
64865664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 297 (or 142 counting only the distinct ones).
The product of its digits is 829440, while the sum is 45.
The square root of 64865664 is about 8053.9222742711. The cubic root of 64865664 is about 401.7953959927.
The spelling of 64865664 in words is "sixty-four million, eight hundred sixty-five thousand, six hundred sixty-four".
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