Search a number
-
+
132326354160 = 243357311131249
BaseRepresentation
bin111101100111101000…
…0111110110011110000
3110122120001101021121000
41323033100332303300
54132001021313120
6140442341002000
712363112311000
oct1731720766360
9418501337530
10132326354160
1151134860480
122178b9b3300
13c62ab46360
146594438000
1536971dd990
hex1ecf43ecf0

132326354160 has 1280 divisors, whose sum is σ = 624960000000. Its totient is φ = 25360957440.

The previous prime is 132326354123. The next prime is 132326354161. The reversal of 132326354160 is 61453623231.

132326354160 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 635 + 4 + 16 + 0 = 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 (132326354161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 105945216 + ... + 105946464.

It is an arithmetic number, because the mean of its divisors is an integer number (488250000).

Almost surely, 2132326354160 is an apocalyptic number.

132326354160 is a gapful number since it is divisible by the number (10) 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 132326354160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480000000).

132326354160 is an abundant number, since it is smaller than the sum of its proper divisors (492633645840).

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

132326354160 is a wasteful number, since it uses less digits than its factorization.

132326354160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 132326354160 its reverse (61453623231), we get a palindrome (193779977391).

The spelling of 132326354160 in words is "one hundred thirty-two billion, three hundred twenty-six million, three hundred fifty-four thousand, one hundred sixty".