| Base | Representation |
|---|---|
| bin | 101101000111011111… |
| … | …001110111000010000 |
| 3 | 11122001010221200121121 |
| 4 | 231013133032320100 |
| 5 | 1243203131310000 |
| 6 | 34131015132024 |
| 7 | 3333326201521 |
| oct | 550737167020 |
| 9 | 148033850547 |
| 10 | 48444010000 |
| 11 | 195aa420801 |
| 12 | 947b974014 |
| 13 | 47505a5a99 |
| 14 | 24b7c14848 |
| 15 | 13d7e8ab1a |
| hex | b477cee10 |
48444010000 has 225 divisors, whose sum is σ = 122924307099. Its totient is φ = 18488400000.
The previous prime is 48444009997. The next prime is 48444010001. The reversal of 48444010000 is 1044484.
It is a happy number.
The square root of 48444010000 is 220100.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 2 ways, for example, as 3798010384 + 44645999616 = 61628^2 + 211296^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (48444010001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 682309965 + ... + 682310035.
Almost surely, 248444010000 is an apocalyptic number.
48444010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
48444010000 is the 220100-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 48444010000
48444010000 is an abundant number, since it is smaller than the sum of its proper divisors (74480297099).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48444010000 is an frugal number, since it uses more digits than its factorization.
48444010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232 (or 109 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 25.
Multiplying 48444010000 by its sum of digits (25), we get a square (1211100250000 = 11005002).
48444010000 divided by its sum of digits (25) gives a square (1937760400 = 440202).
Adding to 48444010000 its reverse (1044484), we get a palindrome (48445054484).
The spelling of 48444010000 in words is "forty-eight billion, four hundred forty-four million, ten thousand".
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