Base | Representation |
---|---|
bin | 100111110110011101… |
… | …111011110111010000 |
3 | 11002110002110102120000 |
4 | 213312131323313100 |
5 | 1200113133420201 |
6 | 31353552450000 |
7 | 3043240600260 |
oct | 476635736720 |
9 | 132402412500 |
10 | 42789748176 |
11 | 1716877414a |
12 | 8362249900 |
13 | 405c030426 |
14 | 20dccc37a0 |
15 | 11a6898d86 |
hex | 9f677bdd0 |
42789748176 has 200 divisors, whose sum is σ = 141888626880. Its totient is φ = 12195380736.
The previous prime is 42789748147. The next prime is 42789748207. The reversal of 42789748176 is 67184798724.
42789748176 is a `hidden beast` number, since 4 + 2 + 7 + 89 + 7 + 481 + 76 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3795540 + ... + 3806796.
Almost surely, 242789748176 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 42789748176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70944313440).
42789748176 is an abundant number, since it is smaller than the sum of its proper divisors (99098878704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42789748176 is a wasteful number, since it uses less digits than its factorization.
42789748176 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11703 (or 11688 counting only the distinct ones).
The product of its digits is 37933056, while the sum is 63.
The spelling of 42789748176 in words is "forty-two billion, seven hundred eighty-nine million, seven hundred forty-eight thousand, one hundred seventy-six".
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