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5606132140224 = 263471173192391
BaseRepresentation
bin101000110010100011110…
…0000111100100011000000
3201211221101222200011220000
41101211013200330203000
51213322324311441344
615531231015520000
71116013115642040
oct121450740744300
921757358604800
105606132140224
111871602494840
1276660a389000
1331886b2a51c5
141554a41d5720
159ac65ac9a69
hex5194783c8c0

5606132140224 has 560 divisors, whose sum is σ = 21002889785856. Its totient is φ = 1436183654400.

The previous prime is 5606132140181. The next prime is 5606132140283. The reversal of 5606132140224 is 4220412316065.

5606132140224 is a `hidden beast` number, since 5 + 6 + 0 + 613 + 2 + 14 + 0 + 2 + 24 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 29043069 + ... + 29235459.

Almost surely, 25606132140224 is an apocalyptic number.

5606132140224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5606132140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501444892928).

5606132140224 is an abundant number, since it is smaller than the sum of its proper divisors (15396757645632).

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

5606132140224 is a wasteful number, since it uses less digits than its factorization.

5606132140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192506 (or 192487 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 5606132140224 its reverse (4220412316065), we get a palindrome (9826544456289).

The spelling of 5606132140224 in words is "five trillion, six hundred six billion, one hundred thirty-two million, one hundred forty thousand, two hundred twenty-four".