Base | Representation |
---|---|
bin | 111101110110011101… |
… | …0011110110000000000 |
3 | 110200211201100201210220 |
4 | 1323230322132300000 |
5 | 4134010341202120 |
6 | 141003550223040 |
7 | 12411332302152 |
oct | 1735472366000 |
9 | 420751321726 |
10 | 132823772160 |
11 | 5136a613a32 |
12 | 218aa4b4a80 |
13 | c6a9c06131 |
14 | 660051aad2 |
15 | 36c5be6b40 |
hex | 1eece9ec00 |
132823772160 has 176 divisors, whose sum is σ = 436312252896. Its totient is φ = 34462236672.
The previous prime is 132823772129. The next prime is 132823772201. The reversal of 132823772160 is 61277328231.
It is a happy number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 451464 + ... + 685176.
Almost surely, 2132823772160 is an apocalyptic number.
132823772160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132823772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218156126448).
132823772160 is an abundant number, since it is smaller than the sum of its proper divisors (303488480736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132823772160 is a wasteful number, since it uses less digits than its factorization.
132823772160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 233778 (or 233760 counting only the distinct ones).
The product of its (nonzero) digits is 169344, while the sum is 42.
The spelling of 132823772160 in words is "one hundred thirty-two billion, eight hundred twenty-three million, seven hundred seventy-two thousand, one hundred sixty".
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