Search a number
-
+
132472392192 = 293472194773
BaseRepresentation
bin111101101011111111…
…0000100101000000000
3110122221020011210010000
41323113332010220000
54132300413022232
6140505035040000
712366534516600
oct1732776045000
9418836153100
10132472392192
11511aa236a68
12218108a0000
13c652188aaa
1465a99b0c00
1536a4e3927c
hex1ed7f84a00

132472392192 has 1200 divisors, whose sum is σ = 501232026240. Its totient is φ = 34613526528.

The previous prime is 132472392149. The next prime is 132472392223. The reversal of 132472392192 is 291293274231.

It is a happy number.

132472392192 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 72 + 392 + 192 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1814690268 + ... + 1814690340.

Almost surely, 2132472392192 is an apocalyptic number.

132472392192 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 132472392192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250616013120).

132472392192 is an abundant number, since it is smaller than the sum of its proper divisors (368759634048).

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

132472392192 is an equidigital number, since it uses as much as digits as its factorization.

132472392192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 151 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 132472392192 in words is "one hundred thirty-two billion, four hundred seventy-two million, three hundred ninety-two thousand, one hundred ninety-two".