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132523665444 = 2232172432832
BaseRepresentation
bin111101101101100000…
…1101010100000100100
3110200001210122201210100
41323123001222200210
54132402024243234
6140514110024100
712401026366362
oct1733301524044
9420053581710
10132523665444
1151226177355
1221825aa8030
13c65c99b8b1
1465b271a632
1536a96b6399
hex1edb06a824

132523665444 has 243 divisors, whose sum is σ = 368765298993. Its totient is φ = 40119899904.

The previous prime is 132523665389. The next prime is 132523665457. The reversal of 132523665444 is 444566325231.

The square root of 132523665444 is 364038.

It is a perfect power (a square), and thus also a powerful number.

132523665444 is a `hidden beast` number, since 1 + 3 + 25 + 23 + 66 + 544 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103175864100 + 29347801344 = 321210^2 + 171312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132523665444.

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 80 ways as a sum of consecutive naturals, for example, 1596670627 + ... + 1596670709.

Almost surely, 2132523665444 is an apocalyptic number.

132523665444 is the 364038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132523665444

132523665444 is an abundant number, since it is smaller than the sum of its proper divisors (236241633549).

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

132523665444 is a wasteful number, since it uses less digits than its factorization.

132523665444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 132523665444 in words is "one hundred thirty-two billion, five hundred twenty-three million, six hundred sixty-five thousand, four hundred forty-four".