| Base | Representation |
|---|---|
| bin | 10111011011000110001… |
| … | …11100110100000000000 |
| 3 | 2211221101102020122111220 |
| 4 | 23231203013212200000 |
| 5 | 101141233341241230 |
| 6 | 1413421404435040 |
| 7 | 112101143415330 |
| oct | 13554307464000 |
| 9 | 2757342218456 |
| 10 | 804821821440 |
| 11 | 290360a3359a |
| 12 | 10bb91248a80 |
| 13 | 5ab81c21460 |
| 14 | 2ad4c8c50c0 |
| 15 | 15e0679ed10 |
| hex | bb631e6800 |
804821821440 has 1536 divisors, whose sum is σ = 3373007339520. Its totient is φ = 159252480000.
The previous prime is 804821821423. The next prime is 804821821469. The reversal of 804821821440 is 44128128408.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 804821821392 and 804821821401.
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 127 ways as a sum of consecutive naturals, for example, 3206461315 + ... + 3206461565.
It is an arithmetic number, because the mean of its divisors is an integer number (2195968320).
Almost surely, 2804821821440 is an apocalyptic number.
804821821440 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 804821821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686503669760).
804821821440 is an abundant number, since it is smaller than the sum of its proper divisors (2568185518080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
804821821440 is a wasteful number, since it uses less digits than its factorization.
804821821440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 369 (or 349 counting only the distinct ones).
The product of its (nonzero) digits is 131072, while the sum is 42.
Adding to 804821821440 its reverse (44128128408), we get a palindrome (848949949848).
It can be divided in two parts, 804821 and 821440, that added together give a palindrome (1626261).
The spelling of 804821821440 in words is "eight hundred four billion, eight hundred twenty-one million, eight hundred twenty-one thousand, four hundred forty".
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