Search a number
-
+
132055301808 = 243597487719
BaseRepresentation
bin111101011111100011…
…0111111111010110000
3110121212011100101200000
41322333012333322300
54130422124124213
6140355415230000
712353311354623
oct1727706777260
9417764311600
10132055301808
1151005858871
1221715078300
13c5b6942551
14656a43bdba
15367d4ebc73
hex1ebf1bfeb0

132055301808 has 240 divisors, whose sum is σ = 388545131520. Its totient is φ = 43414714368.

The previous prime is 132055301797. The next prime is 132055301863. The reversal of 132055301808 is 808103550231.

132055301808 is a `hidden beast` number, since 1 + 3 + 20 + 553 + 0 + 1 + 80 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183664873 + ... + 183665591.

It is an arithmetic number, because the mean of its divisors is an integer number (1618938048).

Almost surely, 2132055301808 is an apocalyptic number.

132055301808 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 132055301808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194272565760).

132055301808 is an abundant number, since it is smaller than the sum of its proper divisors (256489829712).

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

132055301808 is an equidigital number, since it uses as much as digits as its factorization.

132055301808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 132055301808 in words is "one hundred thirty-two billion, fifty-five million, three hundred one thousand, eight hundred eight".