| Base | Representation |
|---|---|
| bin | 1001110111100011… |
| … | …1111110100100000 |
| 3 | 20211121111100000000 |
| 4 | 2131320333310200 |
| 5 | 20411113330014 |
| 6 | 1114504300000 |
| 7 | 122433553143 |
| oct | 23570776440 |
| 9 | 6747440000 |
| 10 | 2648964384 |
| 11 | 113a2a9170 |
| 12 | 61b171600 |
| 13 | 332a57b61 |
| 14 | 1b1b4a05a |
| 15 | 107853509 |
| hex | 9de3fd20 |
2648964384 has 432 divisors, whose sum is σ = 9046791936. Its totient is φ = 755827200.
The previous prime is 2648964343. The next prime is 2648964407. The reversal of 2648964384 is 4834698462.
2648964384 is a `hidden beast` number, since 26 + 489 + 64 + 3 + 84 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2648964384.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71593614 + ... + 71593650.
It is an arithmetic number, because the mean of its divisors is an integer number (20941648).
Almost surely, 22648964384 is an apocalyptic number.
2648964384 is a gapful number since it is divisible by the number (24) 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 2648964384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523395968).
2648964384 is an abundant number, since it is smaller than the sum of its proper divisors (6397827552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2648964384 is an equidigital number, since it uses as much as digits as its factorization.
2648964384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 113 (or 84 counting only the distinct ones).
The product of its digits is 7962624, while the sum is 54.
The square root of 2648964384 is about 51468.0909302065. The cubic root of 2648964384 is about 1383.6472142569.
The spelling of 2648964384 in words is "two billion, six hundred forty-eight million, nine hundred sixty-four thousand, three hundred eighty-four".
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