Search a number
-
+
132492915000 = 2334543161173
BaseRepresentation
bin111101101100100110…
…0010111000100111000
3110122222122210110010000
41323121030113010320
54132321141240000
6140511050553000
712400204124055
oct1733114270470
9418878713100
10132492915000
115120a884066
1221817738760
13c6564c3174
1465ac5d402c
1536a6b40000
hex1ed9317138

132492915000 has 800 divisors, whose sum is σ = 489348858240. Its totient is φ = 33436800000.

The previous prime is 132492914987. The next prime is 132492915001. The reversal of 132492915000 is 519294231.

132492915000 is a `hidden beast` number, since 1 + 32 + 492 + 91 + 50 + 0 + 0 = 666.

132492915000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (132492915001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 765854914 + ... + 765855086.

Almost surely, 2132492915000 is an apocalyptic number.

132492915000 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 132492915000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244674429120).

132492915000 is an abundant number, since it is smaller than the sum of its proper divisors (356855943240).

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

132492915000 is a wasteful number, since it uses less digits than its factorization.

132492915000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 132492915000 in words is "one hundred thirty-two billion, four hundred ninety-two million, nine hundred fifteen thousand".