| Base | Representation |
|---|---|
| bin | 1001111111011001… |
| … | …1001101001000000 |
| 3 | 20220220100111022200 |
| 4 | 2133312121221000 |
| 5 | 20443022310034 |
| 6 | 1122041033200 |
| 7 | 123313151046 |
| oct | 23766315100 |
| 9 | 6826314280 |
| 10 | 2681838144 |
| 11 | 1156911767 |
| 12 | 62a185800 |
| 13 | 3397c7b9b |
| 14 | 1b6266396 |
| 15 | 10a698a99 |
| hex | 9fd99a40 |
2681838144 has 252 divisors, whose sum is σ = 8362645200. Its totient is φ = 819403776.
The previous prime is 2681838143. The next prime is 2681838161. The reversal of 2681838144 is 4418381862.
2681838144 is a `hidden beast` number, since 268 + 1 + 8 + 381 + 4 + 4 = 666.
2681838144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×26818381442 = 14384511661226729472, which contains 22 as substring.
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 2681838144.
It is not an unprimeable number, because it can be changed into a prime (2681838143) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14982247 + ... + 14982425.
It is an arithmetic number, because the mean of its divisors is an integer number (33185100).
Almost surely, 22681838144 is an apocalyptic number.
2681838144 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 2681838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181322600).
2681838144 is an abundant number, since it is smaller than the sum of its proper divisors (5680807056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2681838144 is a wasteful number, since it uses less digits than its factorization.
2681838144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 290 (or 240 counting only the distinct ones).
The product of its digits is 294912, while the sum is 45.
The square root of 2681838144 is about 51786.4668035965. The cubic root of 2681838144 is about 1389.3474058213.
The spelling of 2681838144 in words is "two billion, six hundred eighty-one million, eight hundred thirty-eight thousand, one hundred forty-four".
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