| Base | Representation |
|---|---|
| bin | 1010110001010110… |
| … | …0010101000000000 |
| 3 | 21110111112200101020 |
| 4 | 2230111202220000 |
| 5 | 21410134444000 |
| 6 | 1154523105440 |
| 7 | 131435611461 |
| oct | 25425425000 |
| 9 | 7414480336 |
| 10 | 2891328000 |
| 11 | 1254096580 |
| 12 | 688372280 |
| 13 | 371025792 |
| 14 | 1d5dd8d68 |
| 15 | 11dc79ba0 |
| hex | ac562a00 |
2891328000 has 480 divisors, whose sum is σ = 10777935168. Its totient is φ = 681984000.
The previous prime is 2891327969. The next prime is 2891328007. The reversal of 2891328000 is 8231982.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2891328007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78143982 + ... + 78144018.
Almost surely, 22891328000 is an apocalyptic number.
2891328000 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 2891328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388967584).
2891328000 is an abundant number, since it is smaller than the sum of its proper divisors (7886607168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2891328000 is an equidigital number, since it uses as much as digits as its factorization.
2891328000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 58 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 33.
The square root of 2891328000 is about 53771.0702887715. The cubic root of 2891328000 is about 1424.6202743221.
Adding to 2891328000 its reverse (8231982), we get a palindrome (2899559982).
It can be divided in two parts, 2891 and 328000, that added together give a triangular number (330891 = T813).
The spelling of 2891328000 in words is "two billion, eight hundred ninety-one million, three hundred twenty-eight thousand".
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