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5604468769 = 43217412
BaseRepresentation
bin1010011100000110…
…10110100000100001
3112110120210111211101
411032003112200201
542434221000034
62324043114401
7255612125044
oct51603264041
915416714741
105604468769
112416638379
121104b12a01
136b4160513
143b248cc5b
1522c058514
hex14e0d6821

5604468769 has 9 divisors (see below), whose sum is σ = 5741133939. Its totient is φ = 5470988040.

The previous prime is 5604468707. The next prime is 5604468809. The reversal of 5604468769 is 9678644065.

The square root of 5604468769 is 74863.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6436369 + 5598032400 = 2537^2 + 74820^2 .

It is a de Polignac number, because none of the positive numbers 2k-5604468769 is a prime.

It is a super-4 number, since 4×56044687694 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5604468869) 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 8 ways as a sum of consecutive naturals, for example, 3218239 + ... + 3219979.

It is an arithmetic number, because the mean of its divisors is an integer number (637903771).

Almost surely, 25604468769 is an apocalyptic number.

5604468769 is the 74863-rd square number.

5604468769 is the 37432-nd centered octagonal number.

It is an amenable number.

5604468769 is a deficient number, since it is larger than the sum of its proper divisors (136665170).

5604468769 is an frugal number, since it uses more digits than its factorization.

5604468769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The cubic root of 5604468769 is about 1776.2802395457.

The spelling of 5604468769 in words is "five billion, six hundred four million, four hundred sixty-eight thousand, seven hundred sixty-nine".

Divisors: 1 43 1741 1849 74863 3031081 3219109 130336483 5604468769