Search a number
-
+
132192635568 = 2437894420567
BaseRepresentation
bin111101100011101001…
…0111000101010110000
3110122012201202200011120
41323013102320222300
54131212303314233
6140421202542240
712356566601610
oct1730722705260
9418181680146
10132192635568
1151076329744
1221753067980
13c609228126
14658078aa40
15368a5c84b3
hex1ec74b8ab0

132192635568 has 80 divisors (see below), whose sum is σ = 394668311040. Its totient is φ = 37344941568.

The previous prime is 132192635483. The next prime is 132192635569. The reversal of 132192635568 is 865536291231.

132192635568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132192635568.

It is not an unprimeable number, because it can be changed into a prime (132192635569) 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 15 ways as a sum of consecutive naturals, for example, 2180380 + ... + 2240187.

It is an arithmetic number, because the mean of its divisors is an integer number (4933353888).

Almost surely, 2132192635568 is an apocalyptic number.

It is an amenable number.

132192635568 is an abundant number, since it is smaller than the sum of its proper divisors (262475675472).

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

132192635568 is a wasteful number, since it uses less digits than its factorization.

132192635568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420674 (or 4420668 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The spelling of 132192635568 in words is "one hundred thirty-two billion, one hundred ninety-two million, six hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1424 1869 2136 2492 3738 4272 4984 7476 9968 14952 29904 4420567 8841134 13261701 17682268 26523402 30943969 35364536 53046804 61887938 70729072 92831907 106093608 123775876 185663814 212187216 247551752 371327628 393430463 495103504 742655256 786860926 1180291389 1485310512 1573721852 2360582778 2754013241 3147443704 4721165556 5508026482 6294887408 8262039723 9442331112 11016052964 16524079446 18884662224 22032105928 33048158892 44064211856 66096317784 132192635568