Search a number
-
+
132032333232 = 24332511217651
BaseRepresentation
bin111101011110110111…
…1011000010110110000
3110121210120010110201000
41322331233120112300
54130400234130412
6140353235042000
712352612213062
oct1727557302660
9417716113630
10132032333232
1150aa38a0178
1221709440300
13c5b1c5cb87
14656737d732
15367b4b14dc
hex1ebdbd85b0

132032333232 has 80 divisors (see below), whose sum is σ = 380491896960. Its totient is φ = 43835400000.

The previous prime is 132032333197. The next prime is 132032333261. The reversal of 132032333232 is 232333230231.

132032333232 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 323 + 332 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132032333196 and 132032333205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500394 + ... + 717257.

It is an arithmetic number, because the mean of its divisors is an integer number (4756148712).

Almost surely, 2132032333232 is an apocalyptic number.

132032333232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132032333232 is an abundant number, since it is smaller than the sum of its proper divisors (248459563728).

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

132032333232 is a wasteful number, since it uses less digits than its factorization.

132032333232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217919 (or 1217907 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 132032333232 its reverse (232333230231), we get a palindrome (364365563463).

The spelling of 132032333232 in words is "one hundred thirty-two billion, thirty-two million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 251 432 502 753 1004 1506 2008 2259 3012 4016 4518 6024 6777 9036 12048 13554 18072 27108 36144 54216 108432 1217651 2435302 3652953 4870604 7305906 9741208 10958859 14611812 19482416 21917718 29223624 32876577 43835436 58447248 65753154 87670872 131506308 175341744 263012616 305630401 526025232 611260802 916891203 1222521604 1833782406 2445043208 2750673609 3667564812 4890086416 5501347218 7335129624 8252020827 11002694436 14670259248 16504041654 22005388872 33008083308 44010777744 66016166616 132032333232