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132522334344 = 233217378873299
BaseRepresentation
bin111101101101011110…
…0100101100010001000
3110200001201011002212100
41323122330211202020
54132401204144334
6140514021313400
712401012153541
oct1733274454210
9420051132770
10132522334344
1151225448274
1221825565860
13c65c623a6a
1465b24914c8
1536a9501c99
hex1edaf25888

132522334344 has 192 divisors, whose sum is σ = 390856752000. Its totient is φ = 40394115072.

The previous prime is 132522334297. The next prime is 132522334367. The reversal of 132522334344 is 443433225231.

132522334344 is a `hidden beast` number, since 1 + 3 + 252 + 23 + 343 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132522334299 and 132522334308.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40168807 + ... + 40172105.

It is an arithmetic number, because the mean of its divisors is an integer number (2035712250).

Almost surely, 2132522334344 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 132522334344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195428376000).

132522334344 is an abundant number, since it is smaller than the sum of its proper divisors (258334417656).

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

132522334344 is a wasteful number, since it uses less digits than its factorization.

132522334344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4245 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 132522334344 its reverse (443433225231), we get a palindrome (575955559575).

The spelling of 132522334344 in words is "one hundred thirty-two billion, five hundred twenty-two million, three hundred thirty-four thousand, three hundred forty-four".