| Base | Representation |
|---|---|
| bin | 1010101110101001… |
| … | …01010000000000000 |
| 3 | 112212102110022120100 |
| 4 | 11113110222000000 |
| 5 | 43244030000000 |
| 6 | 2351320442400 |
| 7 | 262511122626 |
| oct | 52724520000 |
| 9 | 15772408510 |
| 10 | 5760000000 |
| 11 | 2496408287 |
| 12 | 1149019400 |
| 13 | 70a447c31 |
| 14 | 3c8db7516 |
| 15 | 23aa2ba00 |
| hex | 15752a000 |
5760000000 has 336 divisors, whose sum is σ = 20798677224. Its totient is φ = 1536000000.
The previous prime is 5759999953. The next prime is 5760000007. The reversal of 5760000000 is 675.
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 3474395136 + 2285604864 = 58944^2 + 47808^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (5760000007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151999998 + ... + 1152000002.
Almost surely, 25760000000 is an apocalyptic number.
5760000000 is a gapful number since it is divisible by the number (50) 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 5760000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399338612).
5760000000 is an abundant number, since it is smaller than the sum of its proper divisors (15038677224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5760000000 is an frugal number, since it uses more digits than its factorization.
5760000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 210, while the sum is 18.
The square root of 5760000000 is about 75894.6638440411. The cubic root of 5760000000 is about 1792.5618986229.
Adding to 5760000000 its reverse (675), we get a palindrome (5760000675).
The spelling of 5760000000 in words is "five billion, seven hundred sixty million", and thus it is an aban number.
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