Base | Representation |
---|---|
bin | 110001101100110000… |
… | …0110111010011110000 |
3 | 101012111002110212000122 |
4 | 1203121200313103300 |
5 | 3222034443024003 |
6 | 121010321505412 |
7 | 10465555110065 |
oct | 1433140672360 |
9 | 335432425018 |
10 | 106728486128 |
11 | 412994a2340 |
12 | 188271a2268 |
13 | a0ab7ac794 |
14 | 5246900c6c |
15 | 2b99cc0238 |
hex | 18d98374f0 |
106728486128 has 80 divisors (see below), whose sum is σ = 235004958720. Its totient is φ = 46527321600.
The previous prime is 106728486119. The next prime is 106728486133. The reversal of 106728486128 is 821684827601.
It is a super-2 number, since 2×1067284861282 (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 106728486128.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300401 + ... + 551087.
It is an arithmetic number, because the mean of its divisors is an integer number (2937561984).
Almost surely, 2106728486128 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 106728486128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117502479360).
106728486128 is an abundant number, since it is smaller than the sum of its proper divisors (128276472592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106728486128 is a wasteful number, since it uses less digits than its factorization.
106728486128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 250806 (or 250800 counting only the distinct ones).
The product of its (nonzero) digits is 2064384, while the sum is 53.
The spelling of 106728486128 in words is "one hundred six billion, seven hundred twenty-eight million, four hundred eighty-six thousand, one hundred twenty-eight".
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