| Base | Representation |
|---|---|
| bin | 10111110111100101000… |
| … | …10011100000111000000 |
| 3 | 2220101212002002221200000 |
| 4 | 23323302202130013000 |
| 5 | 101414042400304134 |
| 6 | 1424431001400000 |
| 7 | 113152106431020 |
| oct | 13736242340700 |
| 9 | 2811762087600 |
| 10 | 820112900544 |
| 11 | 296898396653 |
| 12 | 112b3a199000 |
| 13 | 5c44ab63962 |
| 14 | 2b99d639a80 |
| 15 | 164ede0ee99 |
| hex | bef289c1c0 |
820112900544 has 672 divisors, whose sum is σ = 2834834096640. Its totient is φ = 230255198208.
The previous prime is 820112900531. The next prime is 820112900557. The reversal of 820112900544 is 445009211028.
820112900544 is a `hidden beast` number, since 8 + 20 + 1 + 1 + 2 + 90 + 0 + 544 = 666.
It is an interprime number because it is at equal distance from previous prime (820112900531) and next prime (820112900557).
It is a tau number, because it is divible by the number of its divisors (672).
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 = 820112900499 and 820112900508.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2005165812 + ... + 2005166220.
It is an arithmetic number, because the mean of its divisors is an integer number (4218503120).
Almost surely, 2820112900544 is an apocalyptic number.
820112900544 is a gapful number since it is divisible by the number (84) 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 820112900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417417048320).
820112900544 is an abundant number, since it is smaller than the sum of its proper divisors (2014721196096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
820112900544 is a wasteful number, since it uses less digits than its factorization.
820112900544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 719 (or 697 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The spelling of 820112900544 in words is "eight hundred twenty billion, one hundred twelve million, nine hundred thousand, five hundred forty-four".
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