| Base | Representation |
|---|---|
| bin | 101101010111110101… |
| … | …011010011100100000 |
| 3 | 11122202021000000220000 |
| 4 | 231113311122130200 |
| 5 | 1244233333310000 |
| 6 | 34214133220000 |
| 7 | 3343166243304 |
| oct | 552765323440 |
| 9 | 148667000800 |
| 10 | 48718260000 |
| 11 | 197302078a3 |
| 12 | 9537791600 |
| 13 | 47953591a7 |
| 14 | 2502403d04 |
| 15 | 14020b0000 |
| hex | b57d5a720 |
48718260000 has 1200 divisors, whose sum is σ = 199325289240. Its totient is φ = 11612160000.
The previous prime is 48718259999. The next prime is 48718260007. The reversal of 48718260000 is 6281784.
48718260000 is a `hidden beast` number, since 48 + 7 + 1 + 8 + 2 + 600 + 0 + 0 = 666.
It can be written as a sum of positive squares in 20 ways, for example, as 25976413584 + 22741846416 = 161172^2 + 150804^2 .
It is a tau number, because it is divible by the number of its divisors (1200).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (48718260007) 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 199 ways as a sum of consecutive naturals, for example, 798659970 + ... + 798660030.
Almost surely, 248718260000 is an apocalyptic number.
48718260000 is a gapful number since it is divisible by the number (40) 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 48718260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99662644620).
48718260000 is an abundant number, since it is smaller than the sum of its proper divisors (150607029240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48718260000 is a wasteful number, since it uses less digits than its factorization.
48718260000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The spelling of 48718260000 in words is "forty-eight billion, seven hundred eighteen million, two hundred sixty thousand".
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