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5609044224 = 283272315121
BaseRepresentation
bin1010011100101001…
…10011100100000000
3112110220101222011200
411032110303210000
542441403403344
62324325141200
7255666042420
oct51624634400
915426358150
105609044224
112419182a43
12110655a800
136b50a2ca4
143b2d20480
1522c65e069
hex14e533900

5609044224 has 216 divisors, whose sum is σ = 19287445632. Its totient is φ = 1532805120.

The previous prime is 5609044223. The next prime is 5609044229. The reversal of 5609044224 is 4224409065.

5609044224 is a `hidden beast` number, since 5 + 609 + 0 + 4 + 42 + 2 + 4 = 666.

It is a super-2 number, since 2×56090442242 = 62922754213575524352, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5609044223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 363384 + ... + 378504.

Almost surely, 25609044224 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 5609044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9643722816).

5609044224 is an abundant number, since it is smaller than the sum of its proper divisors (13678401408).

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

5609044224 is a wasteful number, since it uses less digits than its factorization.

5609044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173 (or 15156 counting only the distinct ones).

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

The square root of 5609044224 is about 74893.5526197015. The cubic root of 5609044224 is about 1776.7634896062.

The spelling of 5609044224 in words is "five billion, six hundred nine million, forty-four thousand, two hundred twenty-four".