| Base | Representation |
|---|---|
| bin | 111111100100001… |
| … | …010101100000000 |
| 3 | 2202022201001022000 |
| 4 | 333210022230000 |
| 5 | 4141002224233 |
| 6 | 253453344000 |
| 7 | 35266431516 |
| oct | 7744125400 |
| 9 | 2668631260 |
| 10 | 1066445568 |
| 11 | 4a7a87381 |
| 12 | 259198000 |
| 13 | 13cc32ba6 |
| 14 | a18c64b6 |
| 15 | 63958d13 |
| hex | 3f90ab00 |
1066445568 has 144 divisors (see below), whose sum is σ = 3170734560. Its totient is φ = 353562624.
The previous prime is 1066445563. The next prime is 1066445573. The reversal of 1066445568 is 8655446601.
It is an interprime number because it is at equal distance from previous prime (1066445563) and next prime (1066445573).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×10664455682 = 2274612299013685248, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1066445563) 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 15 ways as a sum of consecutive naturals, for example, 1914346 + ... + 1914902.
It is an arithmetic number, because the mean of its divisors is an integer number (22018990).
Almost surely, 21066445568 is an apocalyptic number.
1066445568 is a gapful number since it is divisible by the number (18) 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 1066445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585367280).
1066445568 is an abundant number, since it is smaller than the sum of its proper divisors (2104288992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1066445568 is an equidigital number, since it uses as much as digits as its factorization.
1066445568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 859 (or 839 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 45.
The square root of 1066445568 is about 32656.4781934611. The cubic root of 1066445568 is about 1021.6753091491.
The spelling of 1066445568 in words is "one billion, sixty-six million, four hundred forty-five thousand, five hundred sixty-eight".
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