| Base | Representation |
|---|---|
| bin | 100000111101111010101001… |
| … | …0011100111000111001000000 |
| 3 | 1102000202021011122200101010210 |
| 4 | 1001323311102130320321000 |
| 5 | 301002102121144310200 |
| 6 | 2504425043321354120 |
| 7 | 115036462645156140 |
| oct | 10173652234707100 |
| 9 | 1360667148611123 |
| 10 | 289984690228800 |
| 11 | 844418a8826836 |
| 12 | 28634b86038940 |
| 13 | c5a65924c10a8 |
| 14 | 51874962c8920 |
| 15 | 237d279817650 |
| hex | 107bd52738e40 |
289984690228800 has 1344 divisors, whose sum is σ = 1129354591680000. Its totient is φ = 63773894246400.
The previous prime is 289984690228789. The next prime is 289984690228801. The reversal of 289984690228800 is 8822096489982.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×2899846902288002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (75).
It is not an unprimeable number, because it can be changed into a prime (289984690228801) by changing a digit.
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, 37911447376 + ... + 37911455024.
It is an arithmetic number, because the mean of its divisors is an integer number (840293595000).
Almost surely, 2289984690228800 is an apocalyptic number.
289984690228800 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 289984690228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564677295840000).
289984690228800 is an abundant number, since it is smaller than the sum of its proper divisors (839369901451200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289984690228800 is a wasteful number, since it uses less digits than its factorization.
289984690228800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8144 (or 8129 counting only the distinct ones).
The product of its (nonzero) digits is 573308928, while the sum is 75.
The spelling of 289984690228800 in words is "two hundred eighty-nine trillion, nine hundred eighty-four billion, six hundred ninety million, two hundred twenty-eight thousand, eight hundred".
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