Base | Representation |
---|---|
bin | 101000110001110010… |
… | …011001100100000000 |
3 | 11012000110010212010002 |
4 | 220301302121210000 |
5 | 1204132422442243 |
6 | 32040423455132 |
7 | 3110014043144 |
oct | 506162314400 |
9 | 135013125102 |
10 | 43784968448 |
11 | 17629522941 |
12 | 859b5b74a8 |
13 | 418a285b70 |
14 | 2195149224 |
15 | 1213e33eb8 |
hex | a31c99900 |
43784968448 has 72 divisors (see below), whose sum is σ = 95665319736. Its totient is φ = 19877068800.
The previous prime is 43784968427. The next prime is 43784968481. The reversal of 43784968448 is 84486948734.
It can be written as a sum of positive squares in 4 ways, for example, as 1822265344 + 41962703104 = 42688^2 + 204848^2 .
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 95168 + ... + 310848.
Almost surely, 243784968448 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 43784968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832659868).
43784968448 is an abundant number, since it is smaller than the sum of its proper divisors (51880351288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
43784968448 is a wasteful number, since it uses less digits than its factorization.
43784968448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 215771 (or 215757 counting only the distinct ones).
The product of its digits is 148635648, while the sum is 65.
The spelling of 43784968448 in words is "forty-three billion, seven hundred eighty-four million, nine hundred sixty-eight thousand, four hundred forty-eight".
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