| Base | Representation |
|---|---|
| bin | 10100100010100100001010… |
| … | …001100001110000000000000 |
| 3 | 102211212001120100210000200000 |
| 4 | 110202210022030032000000 |
| 5 | 43320032033314041000 |
| 6 | 520043515150400000 |
| 7 | 25012401461335500 |
| oct | 2442441214160000 |
| 9 | 384761510700600 |
| 10 | 90336218112000 |
| 11 | 26869414078023 |
| 12 | a16b920800000 |
| 13 | 3b53890506433 |
| 14 | 1844421017a00 |
| 15 | a69cbb9d3000 |
| hex | 52290a30e000 |
90336218112000 has 4032 divisors, whose sum is σ = 407244744990720. Its totient is φ = 19898597376000.
The previous prime is 90336218111941. The next prime is 90336218112013. The reversal of 90336218112000 is 21181263309.
90336218112000 is a `hidden beast` number, since 9 + 0 + 3 + 3 + 621 + 8 + 1 + 1 + 20 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (4032).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 287 ways as a sum of consecutive naturals, for example, 377975807881 + ... + 377975808119.
It is an arithmetic number, because the mean of its divisors is an integer number (101003160960).
Almost surely, 290336218112000 is an apocalyptic number.
90336218112000 is a gapful number since it is divisible by the number (90) 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 90336218112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203622372495360).
90336218112000 is an abundant number, since it is smaller than the sum of its proper divisors (316908526878720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90336218112000 is an equidigital number, since it uses as much as digits as its factorization.
90336218112000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 340 (or 287 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
Adding to 90336218112000 its reverse (21181263309), we get a palindrome (90357399375309).
The spelling of 90336218112000 in words is "ninety trillion, three hundred thirty-six billion, two hundred eighteen million, one hundred twelve thousand".
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