Base | Representation |
---|---|
bin | 1000010110011010100… |
… | …11001111100000100000 |
3 | 1000102120101221200000000 |
4 | 10023031103033200200 |
5 | 14200044011340242 |
6 | 335450004300000 |
7 | 26504644406100 |
oct | 4131523174040 |
9 | 1012511850000 |
10 | 286912215072 |
11 | 10075151381a |
12 | 477323a1600 |
13 | 21095502282 |
14 | dc5ac85200 |
15 | 76e36bba4c |
hex | 42cd4cf820 |
286912215072 has 486 divisors, whose sum is σ = 991507192767. Its totient is φ = 81484050816.
The previous prime is 286912215071. The next prime is 286912215103. The reversal of 286912215072 is 270512219682.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
286912215072 is a `hidden beast` number, since 286 + 91 + 2 + 215 + 0 + 72 = 666.
It can be written as a sum of positive squares in only one way, i.e., 143456107536 + 143456107536 = 378756^2 + 378756^2 .
It is a tau number, because it is divible by the number of its divisors (486).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=378756.
It is not an unprimeable number, because it can be changed into a prime (286912215071) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1718037133 + ... + 1718037299.
Almost surely, 2286912215072 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 286912215072
286912215072 is an abundant number, since it is smaller than the sum of its proper divisors (704594977695).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
286912215072 is an frugal number, since it uses more digits than its factorization.
286912215072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 382 (or 179 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 45.
The spelling of 286912215072 in words is "two hundred eighty-six billion, nine hundred twelve million, two hundred fifteen thousand, seventy-two".
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