Base | Representation |
---|---|
bin | 111101110001001011… |
… | …1001001101110100000 |
3 | 110200101101020111202120 |
4 | 1323202113021232200 |
5 | 4133130031120343 |
6 | 140534223544240 |
7 | 12404052451101 |
oct | 1734227115640 |
9 | 420341214676 |
10 | 132646738848 |
11 | 51289698208 |
12 | 2185b15b080 |
13 | c67c3306b0 |
14 | 65c4bd63a8 |
15 | 36b53c7683 |
hex | 1ee25c9ba0 |
132646738848 has 384 divisors, whose sum is σ = 405537560064. Its totient is φ = 37601280000.
The previous prime is 132646738811. The next prime is 132646738853. The reversal of 132646738848 is 848837646231.
It is a happy number.
It is a Cunningham number, because it is equal to 3642072-1.
It is a junction number, because it is equal to n+sod(n) for n = 132646738791 and 132646738800.
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 63 ways as a sum of consecutive naturals, for example, 220709748 + ... + 220710348.
It is an arithmetic number, because the mean of its divisors is an integer number (1056087396).
Almost surely, 2132646738848 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 132646738848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202768780032).
132646738848 is an abundant number, since it is smaller than the sum of its proper divisors (272890821216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132646738848 is a wasteful number, since it uses less digits than its factorization.
132646738848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 848 (or 840 counting only the distinct ones).
The product of its digits is 37158912, while the sum is 60.
The spelling of 132646738848 in words is "one hundred thirty-two billion, six hundred forty-six million, seven hundred thirty-eight thousand, eight hundred forty-eight".
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