Search a number
-
+
132226305311646 = 237713973424727
BaseRepresentation
bin11110000100001001010101…
…111101010100001110011110
3122100011201012120020010000000
4132010021111331110032132
5114312343433124433041
61145115532011115130
736565015052500320
oct3604112575241636
9570151176203000
10132226305311646
1139149952241197
12129b6416142aa6
1358a1b6bc19790
142491b045bb610
15104479a0abbb6
hex784255f5439e

132226305311646 has 256 divisors, whose sum is σ = 369883774955520. Its totient is φ = 34513347511296.

The previous prime is 132226305311561. The next prime is 132226305311671. The reversal of 132226305311646 is 646113503622231.

132226305311646 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 63 + 0 + 531 + 16 + 46 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36896935 + ... + 40321661.

It is an arithmetic number, because the mean of its divisors is an integer number (1444858495920).

Almost surely, 2132226305311646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132226305311646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184941887477760).

132226305311646 is an abundant number, since it is smaller than the sum of its proper divisors (237657469643874).

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

132226305311646 is an equidigital number, since it uses as much as digits as its factorization.

132226305311646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424867 (or 3424849 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 132226305311646 its reverse (646113503622231), we get a palindrome (778339808933877).

The spelling of 132226305311646 in words is "one hundred thirty-two trillion, two hundred twenty-six billion, three hundred five million, three hundred eleven thousand, six hundred forty-six".