| Base | Representation |
|---|---|
| bin | 11000010010011011011… |
| … | …11110010100010000000 |
| 3 | 2221210001200201100011010 |
| 4 | 30021031233302202000 |
| 5 | 102133103133410200 |
| 6 | 1435213223520520 |
| 7 | 114202245130014 |
| oct | 14111557624200 |
| 9 | 2853050640133 |
| 10 | 834528028800 |
| 11 | 2a1a15352894 |
| 12 | 1158a18b9140 |
| 13 | 6090747cc4b |
| 14 | 2c569cd4544 |
| 15 | 16a946e4150 |
| hex | c24dbf2880 |
834528028800 has 192 divisors, whose sum is σ = 2760737140800. Its totient is φ = 221568430080.
The previous prime is 834528028787. The next prime is 834528028801. The reversal of 834528028800 is 8820825438.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-3 number, since 3×8345280288003 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 834528028800.
It is not an unprimeable number, because it can be changed into a prime (834528028801) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 2008597 + ... + 2388203.
It is an arithmetic number, because the mean of its divisors is an integer number (14378839275).
Almost surely, 2834528028800 is an apocalyptic number.
834528028800 is a gapful number since it is divisible by the number (80) 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 834528028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380368570400).
834528028800 is an abundant number, since it is smaller than the sum of its proper divisors (1926209112000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
834528028800 is a wasteful number, since it uses less digits than its factorization.
834528028800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 379863 (or 379846 counting only the distinct ones).
The product of its (nonzero) digits is 983040, while the sum is 48.
The spelling of 834528028800 in words is "eight hundred thirty-four billion, five hundred twenty-eight million, twenty-eight thousand, eight hundred".
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