| Base | Representation |
|---|---|
| bin | 10010101101101100001111… |
| … | …001101000101101000000000 |
| 3 | 101210102020211222200112110200 |
| 4 | 102231230033031011220000 |
| 5 | 41241440023111214100 |
| 6 | 451014132514525200 |
| 7 | 23223214344463515 |
| oct | 2255541715055000 |
| 9 | 353366758615420 |
| 10 | 82304713382400 |
| 11 | 24252262030183 |
| 12 | 9293255b96800 |
| 13 | 36c03bb890252 |
| 14 | 16477d855930c |
| 15 | 97ae03cb2e00 |
| hex | 4adb0f345a00 |
82304713382400 has 1440 divisors, whose sum is σ = 303347398273920. Its totient is φ = 21305274531840.
The previous prime is 82304713382389. The next prime is 82304713382407. The reversal of 82304713382400 is 428331740328.
82304713382400 is a `hidden beast` number, since 8 + 2 + 3 + 0 + 4 + 71 + 338 + 240 + 0 = 666.
82304713382400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (82304713382407) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163627660549 + ... + 163627661051.
It is an arithmetic number, because the mean of its divisors is an integer number (210657915468).
Almost surely, 282304713382400 is an apocalyptic number.
82304713382400 is a gapful number since it is divisible by the number (80) 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 82304713382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151673699136960).
82304713382400 is an abundant number, since it is smaller than the sum of its proper divisors (221042684891520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82304713382400 is a wasteful number, since it uses less digits than its factorization.
82304713382400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 886 (or 862 counting only the distinct ones).
The product of its (nonzero) digits is 774144, while the sum is 45.
The spelling of 82304713382400 in words is "eighty-two trillion, three hundred four billion, seven hundred thirteen million, three hundred eighty-two thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.032 sec. • engine limits •