| Base | Representation |
|---|---|
| bin | 111111011011111… |
| … | …1010000000101000 |
| 3 | 12111100022022100000 |
| 4 | 1332313322000220 |
| 5 | 13324404202434 |
| 6 | 551114543000 |
| 7 | 103514446266 |
| oct | 17667720050 |
| 9 | 5440268300 |
| 10 | 2128584744 |
| 11 | 9a2592250 |
| 12 | 4b4a37a60 |
| 13 | 27bcb8900 |
| 14 | 1629ab436 |
| 15 | c6d11b99 |
| hex | 7edfa028 |
2128584744 has 576 divisors, whose sum is σ = 7673702400. Its totient is φ = 545875200.
The previous prime is 2128584743. The next prime is 2128584791. The reversal of 2128584744 is 4474858212.
2128584744 is a `hidden beast` number, since 2 + 1 + 28 + 584 + 7 + 44 = 666.
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 self number, because there is not a number n which added to its sum of digits gives 2128584744.
It is not an unprimeable number, because it can be changed into a prime (2128584743) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68664009 + ... + 68664039.
It is an arithmetic number, because the mean of its divisors is an integer number (13322400).
Almost surely, 22128584744 is an apocalyptic number.
2128584744 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 2128584744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836851200).
2128584744 is an abundant number, since it is smaller than the sum of its proper divisors (5545117656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2128584744 is a wasteful number, since it uses less digits than its factorization.
2128584744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 108 (or 79 counting only the distinct ones).
The product of its digits is 573440, while the sum is 45.
The square root of 2128584744 is about 46136.5879102475. The cubic root of 2128584744 is about 1286.3633214509.
The spelling of 2128584744 in words is "two billion, one hundred twenty-eight million, five hundred eighty-four thousand, seven hundred forty-four".
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