| Base | Representation |
|---|---|
| bin | 10010110011011100111100… |
| … | …101101111101010000000000 |
| 3 | 101211211002201222110220201000 |
| 4 | 102303130330231331100000 |
| 5 | 41314431324133333200 |
| 6 | 451520045414212000 |
| 7 | 23263631211062646 |
| oct | 2263347455752000 |
| 9 | 354732658426630 |
| 10 | 82700613964800 |
| 11 | 24395151645447 |
| 12 | 9337b24354000 |
| 13 | 371b832b0b4b0 |
| 14 | 165ca340c9196 |
| 15 | 986375849300 |
| hex | 4b373cb7d400 |
82700613964800 has 2112 divisors, whose sum is σ = 338961505075200. Its totient is φ = 19621763481600.
The previous prime is 82700613964781. The next prime is 82700613964819. The reversal of 82700613964800 is 846931600728.
82700613964800 is a `hidden beast` number, since 8 + 2 + 70 + 0 + 6 + 1 + 3 + 96 + 480 + 0 = 666.
82700613964800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (82700613964781) and next prime (82700613964819).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100000741987 + ... + 100000742813.
Almost surely, 282700613964800 is an apocalyptic number.
82700613964800 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 82700613964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169480752537600).
82700613964800 is an abundant number, since it is smaller than the sum of its proper divisors (256260891110400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82700613964800 is a wasteful number, since it uses less digits than its factorization.
82700613964800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1269 (or 1240 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 54.
The spelling of 82700613964800 in words is "eighty-two trillion, seven hundred billion, six hundred thirteen million, nine hundred sixty-four thousand, eight hundred".
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