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132384422688 = 2537331532447
BaseRepresentation
bin111101101001010111…
…0011111101100100000
3110122201002122110122020
41323102232133230200
54132110403011223
6140452213341440
712364416012000
oct1732256375440
9418632573566
10132384422688
11511646121a1
12217a7337880
13c639b9812b
14659c032000
15369c35e1e3
hex1ed2b9fb20

132384422688 has 384 divisors, whose sum is σ = 426398515200. Its totient is φ = 35898670080.

The previous prime is 132384422669. The next prime is 132384422693. The reversal of 132384422688 is 886224483231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132384422688.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54099481 + ... + 54101927.

It is an arithmetic number, because the mean of its divisors is an integer number (1110412800).

Almost surely, 2132384422688 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 132384422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213199257600).

132384422688 is an abundant number, since it is smaller than the sum of its proper divisors (294014092512).

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

132384422688 is a wasteful number, since it uses less digits than its factorization.

132384422688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2543 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The spelling of 132384422688 in words is "one hundred thirty-two billion, three hundred eighty-four million, four hundred twenty-two thousand, six hundred eighty-eight".