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5609465316 = 223272131714389
BaseRepresentation
bin1010011100101100…
…11010010111100100
3112110221012100210200
411032112122113210
542442010342231
62324342150500
7256002445200
oct51626322744
915427170720
105609465316
112419440354
121106722430
136b51bc860
143b2dcdb00
1522c6e3be6
hex14e59a5e4

5609465316 has 216 divisors, whose sum is σ = 18809514360. Its totient is φ = 1392297984.

The previous prime is 5609465311. The next prime is 5609465341. The reversal of 5609465316 is 6135649065.

5609465316 is a `hidden beast` number, since 5 + 609 + 4 + 6 + 5 + 31 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299428416 + 5310036900 = 17304^2 + 72870^2 .

It is a super-2 number, since 2×56094653162 = 62932202262813959712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5609465311) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 382650 + ... + 397038.

It is an arithmetic number, because the mean of its divisors is an integer number (87081085).

Almost surely, 25609465316 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 5609465316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404757180).

5609465316 is an abundant number, since it is smaller than the sum of its proper divisors (13200049044).

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

5609465316 is a wasteful number, since it uses less digits than its factorization.

5609465316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14443 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5609465316 is about 74896.3638369714. The cubic root of 5609465316 is about 1776.8079512613.

The spelling of 5609465316 in words is "five billion, six hundred nine million, four hundred sixty-five thousand, three hundred sixteen".