| Base | Representation |
|---|---|
| bin | 1111010000100100… |
| … | …00000000000000000 |
| 3 | 210010220200201101102 |
| 4 | 13220102000000000 |
| 5 | 113234123000000 |
| 6 | 3432514553532 |
| 7 | 410001564632 |
| oct | 75022000000 |
| 9 | 23126621342 |
| 10 | 8192000000 |
| 11 | 3524196938 |
| 12 | 17075988a8 |
| 13 | a07258ca2 |
| 14 | 579da6a52 |
| 15 | 32e2c43d5 |
| hex | 1e8480000 |
8192000000 has 140 divisors (see below), whose sum is σ = 20479718325. Its totient is φ = 3276800000.
The previous prime is 8191999993. The next prime is 8192000017. The reversal of 8192000000 is 2918.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 4 ways, for example, as 1396965376 + 6795034624 = 37376^2 + 82432^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=64000.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1638399998 + ... + 1638400002.
Almost surely, 28192000000 is an apocalyptic number.
8192000000 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 8192000000
8192000000 is an abundant number, since it is smaller than the sum of its proper divisors (12287718325).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8192000000 is an frugal number, since it uses more digits than its factorization.
8192000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 20.
The square root of 8192000000 is about 90509.6679918781. The cubic root of 8192000000 is about 2015.8736798318.
Multiplying 8192000000 by its sum of digits (20), we get a 7-th power (163840000000 = 407).
Adding to 8192000000 its reverse (2918), we get a palindrome (8192002918).
The spelling of 8192000000 in words is "eight billion, one hundred ninety-two million", and thus it is an aban number.
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