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5085287424 = 210327211261
BaseRepresentation
bin1001011110001101…
…10101010000000000
3111010101212100220200
410233012311100000
540403313144144
62200335205200
7240006141600
oct45706652000
914111770820
105085287424
11217a56a788
12b9b076800
13630720819
14363542c00
151eb6a1c69
hex12f1b5400

5085287424 has 198 divisors, whose sum is σ = 17082505674. Its totient is φ = 1452810240.

The previous prime is 5085287393. The next prime is 5085287443. The reversal of 5085287424 is 4247825805.

5085287424 is a `hidden beast` number, since 50 + 8 + 528 + 74 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5073997824 + 11289600 = 71232^2 + 3360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5085287424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 445954 + ... + 457214.

Almost surely, 25085287424 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 5085287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8541252837).

5085287424 is an abundant number, since it is smaller than the sum of its proper divisors (11997218250).

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

5085287424 is a wasteful number, since it uses less digits than its factorization.

5085287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301 (or 11273 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 5085287424 is about 71311.2012519772. The cubic root of 5085287424 is about 1719.6438130296.

The spelling of 5085287424 in words is "five billion, eighty-five million, two hundred eighty-seven thousand, four hundred twenty-four".