Base | Representation |
---|---|
bin | 111001101010101010… |
… | …0100000011001000000 |
3 | 102211122111001120010020 |
4 | 1303111110200121000 |
5 | 4012110012204343 |
6 | 132520154133440 |
7 | 11642551455513 |
oct | 1632524403100 |
9 | 384574046106 |
10 | 123838006848 |
11 | 48579365506 |
12 | 20001121280 |
13 | b8a739b03a |
14 | 5dcad6cd7a |
15 | 334bdccb83 |
hex | 1cd5520640 |
123838006848 has 112 divisors (see below), whose sum is σ = 330254945280. Its totient is φ = 40952934400.
The previous prime is 123838006847. The next prime is 123838006849. The reversal of 123838006848 is 848600838321.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (123838006847) and next prime (123838006849).
It is a self number, because there is not a number n which added to its sum of digits gives 123838006848.
It is not an unprimeable number, because it can be changed into a prime (123838006843) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14261068 + ... + 14269748.
Almost surely, 2123838006848 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 123838006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165127472640).
123838006848 is an abundant number, since it is smaller than the sum of its proper divisors (206416938432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123838006848 is a wasteful number, since it uses less digits than its factorization.
123838006848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9276 (or 9266 counting only the distinct ones).
The product of its (nonzero) digits is 1769472, while the sum is 51.
The spelling of 123838006848 in words is "one hundred twenty-three billion, eight hundred thirty-eight million, six thousand, eight hundred forty-eight".
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