Base | Representation |
---|---|
bin | 101100001010111000… |
… | …110000010000100000 |
3 | 11112102021210222011122 |
4 | 230022320300100200 |
5 | 1234112341241034 |
6 | 33442055231412 |
7 | 3266202212633 |
oct | 541270602040 |
9 | 145367728148 |
10 | 47427290144 |
11 | 19128518063 |
12 | 9237378568 |
13 | 461aa634c0 |
14 | 241cb93c1a |
15 | 1378aa562e |
hex | b0ae30420 |
47427290144 has 72 divisors (see below), whose sum is σ = 100948542660. Its totient is φ = 21804134400.
The previous prime is 47427290137. The next prime is 47427290147. The reversal of 47427290144 is 44109272474.
It can be written as a sum of positive squares in 6 ways, for example, as 36488640400 + 10938649744 = 191020^2 + 104588^2 .
It is a junction number, because it is equal to n+sod(n) for n = 47427290095 and 47427290104.
It is not an unprimeable number, because it can be changed into a prime (47427290147) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66892862 + ... + 66893570.
Almost surely, 247427290144 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 47427290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50474271330).
47427290144 is an abundant number, since it is smaller than the sum of its proper divisors (53521252516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47427290144 is an equidigital number, since it uses as much as digits as its factorization.
47427290144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1534 (or 1125 counting only the distinct ones).
The product of its (nonzero) digits is 451584, while the sum is 44.
The spelling of 47427290144 in words is "forty-seven billion, four hundred twenty-seven million, two hundred ninety thousand, one hundred forty-four".
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