| Base | Representation |
|---|---|
| bin | 1000100100000001011111… |
| … | …01001101111100000000000 |
| 3 | 2110200010100121210201000000 |
| 4 | 10102000233221233200000 |
| 5 | 4432002202120103110 |
| 6 | 104014204144000000 |
| 7 | 3652263240654240 |
| oct | 422005751574000 |
| 9 | 73603317721000 |
| 10 | 18829936097280 |
| 11 | 5aaa805038a10 |
| 12 | 214144b600000 |
| 13 | a67869a78979 |
| 14 | 4915338a5b20 |
| 15 | 229c233a01c0 |
| hex | 11202fa6f800 |
18829936097280 has 5376 divisors, whose sum is σ = 93553401876480. Its totient is φ = 3516294758400.
The previous prime is 18829936097251. The next prime is 18829936097359. The reversal of 18829936097280 is 8279063992881.
18829936097280 is a `hidden beast` number, since 1 + 8 + 8 + 2 + 9 + 9 + 3 + 609 + 7 + 2 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (5376).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 18829936097199 and 18829936097208.
It is a congruent number.
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 447 ways as a sum of consecutive naturals, for example, 400636938217 + ... + 400636938263.
It is an arithmetic number, because the mean of its divisors is an integer number (17402046480).
Almost surely, 218829936097280 is an apocalyptic number.
18829936097280 is a gapful number since it is divisible by the number (10) 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 18829936097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46776700938240).
18829936097280 is an abundant number, since it is smaller than the sum of its proper divisors (74723465779200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18829936097280 is a wasteful number, since it uses less digits than its factorization.
18829936097280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 168 (or 133 counting only the distinct ones).
The product of its (nonzero) digits is 188116992, while the sum is 72.
The spelling of 18829936097280 in words is "eighteen trillion, eight hundred twenty-nine billion, nine hundred thirty-six million, ninety-seven thousand, two hundred eighty".
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