Base | Representation |
---|---|
bin | 100111010001111001… |
… | …010111011100100000 |
3 | 11000212022221001001121 |
4 | 213101321113130200 |
5 | 1142334100311143 |
6 | 31213033542024 |
7 | 3022110426610 |
oct | 472171273440 |
9 | 130768831047 |
10 | 42176182048 |
11 | 1698339a900 |
12 | 8210874914 |
13 | 3c91b94a50 |
14 | 2081608a40 |
15 | 116ca9b7ed |
hex | 9d1e57720 |
42176182048 has 144 divisors (see below), whose sum is σ = 112332225600. Its totient is φ = 15168130560.
The previous prime is 42176182039. The next prime is 42176182051. The reversal of 42176182048 is 84028167124.
42176182048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 42176181995 and 42176182013.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292503 + ... + 412201.
It is an arithmetic number, because the mean of its divisors is an integer number (780084900).
Almost surely, 242176182048 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 42176182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56166112800).
42176182048 is an abundant number, since it is smaller than the sum of its proper divisors (70156043552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42176182048 is a wasteful number, since it uses less digits than its factorization.
42176182048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 119751 (or 119732 counting only the distinct ones).
The product of its (nonzero) digits is 172032, while the sum is 43.
The spelling of 42176182048 in words is "forty-two billion, one hundred seventy-six million, one hundred eighty-two thousand, forty-eight".
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