Base | Representation |
---|---|
bin | 100111011001001100… |
… | …111100111110000000 |
3 | 11001011212120111021100 |
4 | 213121030330332000 |
5 | 1143111440210432 |
6 | 31233133054400 |
7 | 3025126334142 |
oct | 473114747600 |
9 | 131155514240 |
10 | 42298756992 |
11 | 16a36600208 |
12 | 8245927400 |
13 | 3cb13b09bb |
14 | 20939d4c92 |
15 | 117871007c |
hex | 9d933cf80 |
42298756992 has 576 divisors, whose sum is σ = 141134348160. Its totient is φ = 12103188480.
The previous prime is 42298756957. The next prime is 42298756999. The reversal of 42298756992 is 29965789224.
42298756992 is a `hidden beast` number, since 42 + 29 + 8 + 7 + 569 + 9 + 2 = 666.
42298756992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (576).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42298756999) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219164448 + ... + 219164640.
It is an arithmetic number, because the mean of its divisors is an integer number (245024910).
Almost surely, 242298756992 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 42298756992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70567174080).
42298756992 is an abundant number, since it is smaller than the sum of its proper divisors (98835591168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42298756992 is a wasteful number, since it uses less digits than its factorization.
42298756992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 299 (or 265 counting only the distinct ones).
The product of its digits is 39191040, while the sum is 63.
The spelling of 42298756992 in words is "forty-two billion, two hundred ninety-eight million, seven hundred fifty-six thousand, nine hundred ninety-two".
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