Base | Representation |
---|---|
bin | 110001101100111000… |
… | …0111111010110101000 |
3 | 101012111101102121201200 |
4 | 1203121300333112220 |
5 | 3222042033312014 |
6 | 121010552244200 |
7 | 10465636044333 |
oct | 1433160772650 |
9 | 335441377650 |
10 | 106732713384 |
11 | 412a091a340 |
12 | 188286a0660 |
13 | a0ac62c90b |
14 | 52472c161a |
15 | 2b9a357a09 |
hex | 18d9c3f5a8 |
106732713384 has 96 divisors (see below), whose sum is σ = 315688276800. Its totient is φ = 32308208640.
The previous prime is 106732713383. The next prime is 106732713403. The reversal of 106732713384 is 483317237601.
It is a super-2 number, since 2×1067327133842 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106732713383) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663237 + ... + 808299.
It is an arithmetic number, because the mean of its divisors is an integer number (3288419550).
Almost surely, 2106732713384 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 106732713384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157844138400).
106732713384 is an abundant number, since it is smaller than the sum of its proper divisors (208955563416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106732713384 is a wasteful number, since it uses less digits than its factorization.
106732713384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 146015 (or 146008 counting only the distinct ones).
The product of its (nonzero) digits is 508032, while the sum is 45.
The spelling of 106732713384 in words is "one hundred six billion, seven hundred thirty-two million, seven hundred thirteen thousand, three hundred eighty-four".
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