Search a number
-
+
132650429184 = 28327213196771
BaseRepresentation
bin111101110001010010…
…1001110101100000000
3110200101122011222221200
41323202211032230000
54133132002213214
6140534435021200
712404126021100
oct1734245165400
9420348158850
10132650429184
1151290788879
122186043a800
13c680023320
1465c54b7200
1536b58a5d09
hex1ee294eb00

132650429184 has 1296 divisors, whose sum is σ = 519085082880. Its totient is φ = 32188907520.

The previous prime is 132650429183. The next prime is 132650429207. The reversal of 132650429184 is 481924056231.

132650429184 is a `hidden beast` number, since 132 + 6 + 504 + 2 + 9 + 1 + 8 + 4 = 666.

It is a super-2 number, since 2×1326504291842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132650429183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1868315869 + ... + 1868315939.

Almost surely, 2132650429184 is an apocalyptic number.

132650429184 is a gapful number since it is divisible by the number (14) 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 132650429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259542541440).

132650429184 is an abundant number, since it is smaller than the sum of its proper divisors (386434653696).

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

132650429184 is a wasteful number, since it uses less digits than its factorization.

132650429184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 132650429184 in words is "one hundred thirty-two billion, six hundred fifty million, four hundred twenty-nine thousand, one hundred eighty-four".