Base | Representation |
---|---|
bin | 110001100010011101… |
… | …1101111000110010000 |
3 | 101011121000202221122020 |
4 | 1203010323233012100 |
5 | 3220333100140343 |
6 | 120512145211440 |
7 | 10454163232560 |
oct | 1430473570620 |
9 | 334530687566 |
10 | 106383208848 |
11 | 41131603414 |
12 | 1874b630b80 |
13 | a0550bb0b7 |
14 | 5212b02da0 |
15 | 2b7981ab83 |
hex | 18c4eef190 |
106383208848 has 160 divisors (see below), whose sum is σ = 326603500800. Its totient is φ = 29194518528.
The previous prime is 106383208843. The next prime is 106383208903. The reversal of 106383208848 is 848802383601.
It is a happy number.
106383208848 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1063832088482 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 106383208848.
It is not an unprimeable number, because it can be changed into a prime (106383208843) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1852308 + ... + 1908876.
It is an arithmetic number, because the mean of its divisors is an integer number (2041271880).
Almost surely, 2106383208848 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 106383208848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163301750400).
106383208848 is an abundant number, since it is smaller than the sum of its proper divisors (220220291952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106383208848 is a wasteful number, since it uses less digits than its factorization.
106383208848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 56809 (or 56803 counting only the distinct ones).
The product of its (nonzero) digits is 1769472, while the sum is 51.
The spelling of 106383208848 in words is "one hundred six billion, three hundred eighty-three million, two hundred eight thousand, eight hundred forty-eight".
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