Base | Representation |
---|---|
bin | 111101100100110000… |
… | …0001000000100101000 |
3 | 110122022022102202110200 |
4 | 1323021200020010220 |
5 | 4131301243122333 |
6 | 140425004312200 |
7 | 12360526400436 |
oct | 1731140100450 |
9 | 418268382420 |
10 | 132229660968 |
11 | 51095218449 |
12 | 21763542660 |
13 | c613abca52 |
14 | 6585667d56 |
15 | 368d98dc13 |
hex | 1ec9808128 |
132229660968 has 96 divisors (see below), whose sum is σ = 361899588960. Its totient is φ = 43612606080.
The previous prime is 132229660951. The next prime is 132229660993. The reversal of 132229660968 is 869066922231.
It is a happy number.
132229660968 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 29 + 6 + 609 + 6 + 8 = 666.
It is a super-3 number, since 3×1322296609683 (a number of 34 digits) contains 333 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6746623 + ... + 6766193.
It is an arithmetic number, because the mean of its divisors is an integer number (3769787385).
Almost surely, 2132229660968 is an apocalyptic number.
132229660968 is a gapful number since it is divisible by the number (18) 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 132229660968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180949794480).
132229660968 is an abundant number, since it is smaller than the sum of its proper divisors (229669927992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132229660968 is a wasteful number, since it uses less digits than its factorization.
132229660968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20567 (or 20560 counting only the distinct ones).
The product of its (nonzero) digits is 3359232, while the sum is 54.
The spelling of 132229660968 in words is "one hundred thirty-two billion, two hundred twenty-nine million, six hundred sixty thousand, nine hundred sixty-eight".
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