Base | Representation |
---|---|
bin | 111100000000000000… |
… | …000000000000000000 |
3 | 20011021212002011200020 |
4 | 330000000000000000 |
5 | 2023420133300230 |
6 | 45332440453440 |
7 | 4440333203064 |
oct | 740000000000 |
9 | 204255064606 |
10 | 64424509440 |
11 | 2535aa57535 |
12 | 1059b77a280 |
13 | 60c92c2005 |
14 | 319234baa4 |
15 | 1a20dcd810 |
hex | f00000000 |
64424509440 has 132 divisors (see below), whose sum is σ = 206158430184. Its totient is φ = 17179869184.
The previous prime is 64424509417. The next prime is 64424509451. The reversal of 64424509440 is 4490542446.
It is a happy number.
It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)29.
It is a super-2 number, since 2×644245094402 (a number of 22 digits) contains 22 as substring.
It is a nialpdrome in base 2, base 4, base 8 and base 16.
It is a zygodrome in base 2 and base 4.
It is a junction number, because it is equal to n+sod(n) for n = 64424509392 and 64424509401.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5120 × 3072 × 4096.
It is a congruent number.
It is an unprimeable number.
In principle, a polygon with 64424509440 sides can be constructed with ruler and compass.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12884901886 + ... + 12884901890.
Almost surely, 264424509440 is an apocalyptic number.
64424509440 is a gapful number since it is divisible by the number (60) 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 64424509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103079215092).
64424509440 is an abundant number, since it is smaller than the sum of its proper divisors (141733920744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64424509440 is an frugal number, since it uses more digits than its factorization.
64424509440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 42.
The spelling of 64424509440 in words is "sixty-four billion, four hundred twenty-four million, five hundred nine thousand, four hundred forty".
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