| Base | Representation |
|---|---|
| bin | 1010110110011110… |
| … | …01001010000000000 |
| 3 | 120001000000101122100 |
| 4 | 11123033021100000 |
| 5 | 43412332222000 |
| 6 | 2402024110400 |
| 7 | 264236220102 |
| oct | 53317112000 |
| 9 | 16030011570 |
| 10 | 5825664000 |
| 11 | 251a487652 |
| 12 | 1167005400 |
| 13 | 71ac28c80 |
| 14 | 3d39cb572 |
| 15 | 24169ca00 |
| hex | 15b3c9400 |
5825664000 has 528 divisors, whose sum is σ = 22666185360. Its totient is φ = 1430323200.
The previous prime is 5825663983. The next prime is 5825664001. The reversal of 5825664000 is 4665285.
5825664000 is a `hidden beast` number, since 5 + 8 + 2 + 5 + 6 + 640 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 3798503424 + 2027160576 = 61632^2 + 45024^2 .
It is a super-2 number, since 2×58256640002 = 67876722081792000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5825664001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14975806 + ... + 14976194.
Almost surely, 25825664000 is an apocalyptic number.
5825664000 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 5825664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333092680).
5825664000 is an abundant number, since it is smaller than the sum of its proper divisors (16840521360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5825664000 is a wasteful number, since it uses less digits than its factorization.
5825664000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 443 (or 412 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The square root of 5825664000 is about 76326.0374970429. The cubic root of 5825664000 is about 1799.3479119440.
The spelling of 5825664000 in words is "five billion, eight hundred twenty-five million, six hundred sixty-four thousand".
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