| Base | Representation |
|---|---|
| bin | 1000011010100001010… |
| … | …10101011001000000000 |
| 3 | 1000122021000002022122000 |
| 4 | 10031100222223020000 |
| 5 | 14214102220012200 |
| 6 | 340452414544000 |
| 7 | 26613365630610 |
| oct | 4152052531000 |
| 9 | 1018230068560 |
| 10 | 289116172800 |
| 11 | 1016825a6894 |
| 12 | 48048508000 |
| 13 | 21356cbb180 |
| 14 | ddc9872a40 |
| 15 | 77c1e1b300 |
| hex | 4350aab200 |
289116172800 has 1920 divisors, whose sum is σ = 1355388249600. Its totient is φ = 58711080960.
The previous prime is 289116172783. The next prime is 289116172801. The reversal of 289116172800 is 8271611982.
289116172800 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 1 + 617 + 28 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×2891161728002 (a number of 24 digits) contains 22 as substring.
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 (289116172801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 912038242 + ... + 912038558.
It is an arithmetic number, because the mean of its divisors is an integer number (705931380).
Almost surely, 2289116172800 is an apocalyptic number.
289116172800 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 289116172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677694124800).
289116172800 is an abundant number, since it is smaller than the sum of its proper divisors (1066272076800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289116172800 is a wasteful number, since it uses less digits than its factorization.
289116172800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 403 (or 376 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 45.
The spelling of 289116172800 in words is "two hundred eighty-nine billion, one hundred sixteen million, one hundred seventy-two thousand, eight hundred".
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