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132331345232 = 2431222133889
BaseRepresentation
bin111101100111110010…
…0000001010101010000
3110122120101202212001112
41323033210001111100
54132003311021412
6140443035552452
712363202606142
oct1731744012520
9418511685045
10132331345232
115113765a329
12217915bb728
13c62bba3058
146594d76c92
153697877722
hex1ecf901550

132331345232 has 60 divisors (see below), whose sum is σ = 265117356180. Its totient is φ = 63985904640.

The previous prime is 132331345219. The next prime is 132331345247. The reversal of 132331345232 is 232543133231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 119345375296 + 12985969936 = 345464^2 + 113956^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34025144 + ... + 34029032.

It is an arithmetic number, because the mean of its divisors is an integer number (4418622603).

Almost surely, 2132331345232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132331345232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132558678090).

132331345232 is an abundant number, since it is smaller than the sum of its proper divisors (132786010948).

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

132331345232 is a wasteful number, since it uses less digits than its factorization.

132331345232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6135 counting only the distinct ones).

The product of its digits is 38880, while the sum is 32.

Adding to 132331345232 its reverse (232543133231), we get a palindrome (364874478463).

The spelling of 132331345232 in words is "one hundred thirty-two billion, three hundred thirty-one million, three hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 2213 3844 3889 4426 7688 7778 8852 15376 15556 17704 31112 35408 62224 68603 120559 137206 241118 274412 482236 548824 964472 1097648 1928944 2126693 3737329 4253386 7474658 8506772 8606357 14949316 17013544 17212714 29898632 34027088 34425428 59797264 68850856 137701712 266797067 533594134 1067188268 2134376536 4268753072 8270709077 16541418154 33082836308 66165672616 132331345232