Search a number
-
+
132232455612 = 2236143931513
BaseRepresentation
bin111101100100110101…
…0110010010110111100
3110122022111200202000000
41323021222302112330
54131303002034422
6140425144234300
712360562220205
oct1731152622674
9418274622000
10132232455612
1151096857074
122176446b990
13c61455aa9a
146585b945ac
15368dd41cac
hex1ec9ab25bc

132232455612 has 84 divisors (see below), whose sum is σ = 347203604160. Its totient is φ = 44045456832.

The previous prime is 132232455611. The next prime is 132232455653. The reversal of 132232455612 is 216554232231.

132232455612 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 32 + 4 + 5 + 5 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232455611) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4180368 + ... + 4211880.

It is an arithmetic number, because the mean of its divisors is an integer number (4133376240).

Almost surely, 2132232455612 is an apocalyptic number.

132232455612 is a gapful number since it is divisible by the number (12) 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 132232455612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173601802080).

132232455612 is an abundant number, since it is smaller than the sum of its proper divisors (214971148548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132232455612 is a wasteful number, since it uses less digits than its factorization.

132232455612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32974 (or 32957 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 132232455612 its reverse (216554232231), we get a palindrome (348786687843).

The spelling of 132232455612 in words is "one hundred thirty-two billion, two hundred thirty-two million, four hundred fifty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1439 1458 2878 2916 4317 5756 8634 12951 17268 25902 31513 38853 51804 63026 77706 94539 116559 126052 155412 189078 233118 283617 349677 378156 466236 567234 699354 850851 1049031 1134468 1398708 1701702 2098062 2552553 3403404 4196124 5105106 7657659 10210212 15315318 22972977 30630636 45347207 45945954 90694414 91891908 136041621 181388828 272083242 408124863 544166484 816249726 1224374589 1632499452 2448749178 3673123767 4897498356 7346247534 11019371301 14692495068 22038742602 33058113903 44077485204 66116227806 132232455612