| Base | Representation |
|---|---|
| bin | 100001001111100010001… |
| … | …111111100100000000000 |
| 3 | 22002101111101202220122000 |
| 4 | 201033202033330200000 |
| 5 | 244411444401334320 |
| 6 | 4505241042544000 |
| 7 | 324021100032000 |
| oct | 41174217744000 |
| 9 | 8071441686560 |
| 10 | 2284423464960 |
| 11 | 80090054482a |
| 12 | 30a8a0968000 |
| 13 | 137560275930 |
| 14 | 7c7d0db2000 |
| 15 | 3e652e41c90 |
| hex | 213e23fc800 |
2284423464960 has 3072 divisors, whose sum is σ = 10897286400000. Its totient is φ = 449474199552.
The previous prime is 2284423464893. The next prime is 2284423465003. The reversal of 2284423464960 is 694643244822.
It is a happy number.
2284423464960 is a `hidden beast` number, since 2 + 2 + 84 + 42 + 3 + 464 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (3072).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 2284423464897 and 2284423464906.
It is an unprimeable number.
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 255 ways as a sum of consecutive naturals, for example, 20958013386 + ... + 20958013494.
It is an arithmetic number, because the mean of its divisors is an integer number (3547293750).
Almost surely, 22284423464960 is an apocalyptic number.
2284423464960 is a gapful number since it is divisible by the number (20) 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 2284423464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448643200000).
2284423464960 is an abundant number, since it is smaller than the sum of its proper divisors (8612862935040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2284423464960 is a wasteful number, since it uses less digits than its factorization.
2284423464960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 196 (or 156 counting only the distinct ones).
The product of its (nonzero) digits is 15925248, while the sum is 54.
The spelling of 2284423464960 in words is "two trillion, two hundred eighty-four billion, four hundred twenty-three million, four hundred sixty-four thousand, nine hundred sixty".
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