Base | Representation |
---|---|
bin | 10000011011111001… |
… | …11000111000000000 |
3 | 211202221220122101211 |
4 | 20031330320320000 |
5 | 121032421000000 |
6 | 4015332535504 |
7 | 431444522344 |
oct | 101574707000 |
9 | 24687818354 |
10 | 8824000000 |
11 | 3818a10892 |
12 | 1863181594 |
13 | aa8179c9a |
14 | 5d9cbd624 |
15 | 369a137ba |
hex | 20df38e00 |
8824000000 has 140 divisors (see below), whose sum is σ = 22058155152. Its totient is φ = 3526400000.
The previous prime is 8823999973. The next prime is 8824000021. The reversal of 8824000000 is 4288.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999449 + ... + 8000551.
Almost surely, 28824000000 is an apocalyptic number.
8824000000 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 8824000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11029077576).
8824000000 is an abundant number, since it is smaller than the sum of its proper divisors (13234155152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8824000000 is an frugal number, since it uses more digits than its factorization.
8824000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1151 (or 1110 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 22.
The square root of 8824000000 is about 93936.1485265390. The cubic root of 8824000000 is about 2066.4354001823.
Adding to 8824000000 its reverse (4288), we get a palindrome (8824004288).
The spelling of 8824000000 in words is "eight billion, eight hundred twenty-four million", and thus it is an aban number.
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