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5028218496 = 273272281317
BaseRepresentation
bin1001010111011010…
…01000011010000000
3110222102110222001200
410223231020122000
540244210442441
62150540101200
7235414103100
oct45355103200
913872428050
105028218496
112150330a84
12b83b34800
1362195ba22
14359b29200
151e667c7b6
hex12bb48680

5028218496 has 288 divisors, whose sum is σ = 16944728580. Its totient is φ = 1427005440.

The previous prime is 5028218477. The next prime is 5028218527. The reversal of 5028218496 is 6948128205.

It can be written as a sum of positive squares in 2 ways, for example, as 4860878400 + 167340096 = 69720^2 + 12936^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 15861730 + ... + 15862046.

Almost surely, 25028218496 is an apocalyptic number.

5028218496 is a gapful number since it is divisible by the number (56) 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 5028218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472364290).

5028218496 is an abundant number, since it is smaller than the sum of its proper divisors (11916510084).

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

5028218496 is a wasteful number, since it uses less digits than its factorization.

5028218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5028218496 is about 70909.9322803230. The cubic root of 5028218496 is about 1713.1867772044.

The spelling of 5028218496 in words is "five billion, twenty-eight million, two hundred eighteen thousand, four hundred ninety-six".