Base | Representation |
---|---|
bin | 100111101001111111… |
… | …000100110111001000 |
3 | 11001220111101222112110 |
4 | 213221333010313020 |
5 | 1144201031110401 |
6 | 31321112142320 |
7 | 3035115564360 |
oct | 475177046710 |
9 | 131814358473 |
10 | 42580331976 |
11 | 1707053a706 |
12 | 83040979a0 |
13 | 402782a210 |
14 | 20bd16d9a0 |
15 | 11932ce9d6 |
hex | 9e9fc4dc8 |
42580331976 has 512 divisors, whose sum is σ = 144506880000. Its totient is φ = 10141148160.
The previous prime is 42580331933. The next prime is 42580332029. The reversal of 42580331976 is 67913308524.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101623495 + ... + 101623913.
It is an arithmetic number, because the mean of its divisors is an integer number (282240000).
It is a 1-persistent number, because it is pandigital, but 2⋅42580331976 = 85160663952 is not.
Almost surely, 242580331976 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 42580331976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440000).
42580331976 is an abundant number, since it is smaller than the sum of its proper divisors (101926548024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42580331976 is a wasteful number, since it uses less digits than its factorization.
42580331976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 577 (or 573 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 48.
The spelling of 42580331976 in words is "forty-two billion, five hundred eighty million, three hundred thirty-one thousand, nine hundred seventy-six".
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