Base | Representation |
---|---|
bin | 1101110111011001111… |
… | …1001001010010000000 |
3 | 211202212100011112022200 |
4 | 3131312133021102000 |
5 | 12400324013432443 |
6 | 301233242033200 |
7 | 23132043514404 |
oct | 3356637112200 |
9 | 752770145280 |
10 | 238211077248 |
11 | 9202aa41091 |
12 | 3a2004a8800 |
13 | 1960388c661 |
14 | b75ac5b104 |
15 | 62e2d8edd3 |
hex | 37767c9480 |
238211077248 has 96 divisors (see below), whose sum is σ = 687061715340. Its totient is φ = 79220146176.
The previous prime is 238211077241. The next prime is 238211077267. The reversal of 238211077248 is 842770112832.
238211077248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 236359324224 + 1851753024 = 486168^2 + 43032^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (238211077241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260040 + ... + 737592.
Almost surely, 2238211077248 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 238211077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343530857670).
238211077248 is an abundant number, since it is smaller than the sum of its proper divisors (448850638092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238211077248 is a wasteful number, since it uses less digits than its factorization.
238211077248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 478006 (or 477991 counting only the distinct ones).
The product of its (nonzero) digits is 301056, while the sum is 45.
The spelling of 238211077248 in words is "two hundred thirty-eight billion, two hundred eleven million, seventy-seven thousand, two hundred forty-eight".
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