Base | Representation |
---|---|
bin | 111101100001010110… |
… | …1001110011100011000 |
3 | 110122000100220121220002 |
4 | 1323002231032130120 |
5 | 4131033101420144 |
6 | 140405412552132 |
7 | 12354643351025 |
oct | 1730255163430 |
9 | 418010817802 |
10 | 132115654424 |
11 | 5103692a666 |
12 | 21731322648 |
13 | c5c62b3b60 |
14 | 657446c54c |
15 | 368396e14e |
hex | 1ec2b4e718 |
132115654424 has 256 divisors, whose sum is σ = 306561024000. Its totient is φ = 52751761920.
The previous prime is 132115654421. The next prime is 132115654457. The reversal of 132115654424 is 424456511231.
It is a super-2 number, since 2×1321156544242 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (38).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132115654421) by changing a digit.
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, 111301559 + ... + 111302745.
It is an arithmetic number, because the mean of its divisors is an integer number (1197504000).
Almost surely, 2132115654424 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 132115654424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153280512000).
132115654424 is an abundant number, since it is smaller than the sum of its proper divisors (174445369576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132115654424 is a wasteful number, since it uses less digits than its factorization.
132115654424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1358 (or 1354 counting only the distinct ones).
The product of its digits is 115200, while the sum is 38.
The spelling of 132115654424 in words is "one hundred thirty-two billion, one hundred fifteen million, six hundred fifty-four thousand, four hundred twenty-four".
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