| Base | Representation |
|---|---|
| bin | 10100001011011011… |
| … | …10010101111100000 |
| 3 | 1000221222210002200100 |
| 4 | 22011231302233200 |
| 5 | 134141311334030 |
| 6 | 4550551222400 |
| 7 | 532313414130 |
| oct | 120555625740 |
| 9 | 30858702610 |
| 10 | 10833308640 |
| 11 | 465a136140 |
| 12 | 2124077a00 |
| 13 | 10385332cb |
| 14 | 74aabcac0 |
| 15 | 436114360 |
| hex | 285b72be0 |
10833308640 has 576 divisors, whose sum is σ = 47234783232. Its totient is φ = 2195251200.
The previous prime is 10833308579. The next prime is 10833308657. The reversal of 10833308640 is 4680333801.
It is a happy number.
10833308640 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 3 + 3 + 0 + 8 + 640 = 666.
10833308640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10833308595 and 10833308604.
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 95 ways as a sum of consecutive naturals, for example, 4544889 + ... + 4547271.
It is an arithmetic number, because the mean of its divisors is an integer number (82004832).
Almost surely, 210833308640 is an apocalyptic number.
10833308640 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 10833308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617391616).
10833308640 is an abundant number, since it is smaller than the sum of its proper divisors (36401474592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10833308640 is a wasteful number, since it uses less digits than its factorization.
10833308640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2463 (or 2452 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 10833308640 in words is "ten billion, eight hundred thirty-three million, three hundred eight thousand, six hundred forty".
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