| Base | Representation |
|---|---|
| bin | 100000100111000001011010… |
| … | …1000010000101110000000000 |
| 3 | 1101121121110100200100120200000 |
| 4 | 1001032002311002011300000 |
| 5 | 300044023444034320000 |
| 6 | 2454015341430400000 |
| 7 | 114263241223064340 |
| oct | 10116026502056000 |
| 9 | 1347543320316600 |
| 10 | 286838133120000 |
| 11 | 83439407323040 |
| 12 | 2820719a500000 |
| 13 | c4089487a4387 |
| 14 | 50b907adb4d20 |
| 15 | 23264b88c0000 |
| hex | 104e0b5085c00 |
286838133120000 has 5280 divisors, whose sum is σ = 1417859217815040. Its totient is φ = 56056872960000.
The previous prime is 286838133119977. The next prime is 286838133120031. The reversal of 286838133120000 is 21331838682.
286838133120000 is a `hidden beast` number, since 2 + 8 + 68 + 381 + 3 + 3 + 1 + 200 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (5280).
It is a super-2 number, since 2×2868381331200002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 203575679296 + ... + 203575680704.
It is an arithmetic number, because the mean of its divisors is an integer number (268533942768).
Almost surely, 2286838133120000 is an apocalyptic number.
286838133120000 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 286838133120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708929608907520).
286838133120000 is an abundant number, since it is smaller than the sum of its proper divisors (1131021084695040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
286838133120000 is a wasteful number, since it uses less digits than its factorization.
286838133120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1499 (or 1454 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
Adding to 286838133120000 its reverse (21331838682), we get a palindrome (286859464958682).
The spelling of 286838133120000 in words is "two hundred eighty-six trillion, eight hundred thirty-eight billion, one hundred thirty-three million, one hundred twenty thousand".
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