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5605505568 = 253213241532
BaseRepresentation
bin1010011100001110…
…10011101000100000
3112110122202012001100
411032013103220200
542440002134233
62324121234400
7255624003555
oct51607235040
915418665040
105605505568
112417186333
121105332a00
136b4434400
143b267ca2c
1522c1b0813
hex14e1d3a20

5605505568 has 324 divisors, whose sum is σ = 18022109742. Its totient is φ = 1650954240.

The previous prime is 5605505561. The next prime is 5605505573. The reversal of 5605505568 is 8655055065.

It can be written as a sum of positive squares in 9 ways, for example, as 14653584 + 5590851984 = 3828^2 + 74772^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5605505561) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 105764230 + ... + 105764282.

Almost surely, 25605505568 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 5605505568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011054871).

5605505568 is an abundant number, since it is smaller than the sum of its proper divisors (12416604174).

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

5605505568 is a wasteful number, since it uses less digits than its factorization.

5605505568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The square root of 5605505568 is about 74869.9243221202. The cubic root of 5605505568 is about 1776.3897671446.

The spelling of 5605505568 in words is "five billion, six hundred five million, five hundred five thousand, five hundred sixty-eight".