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5355713441 = 13536122089
BaseRepresentation
bin1001111110011100…
…11011001110100001
3111211020201102200002
410333032123032201
541432030312231
62243235305345
7246501545621
oct47716331641
914736642602
105355713441
1122a9184861
12105574b255
13674765510
1438b418881
152152bd0cb
hex13f39b3a1

5355713441 has 24 divisors (see below), whose sum is σ = 5977291320. Its totient is φ = 4768657920.

The previous prime is 5355713431. The next prime is 5355713443. The reversal of 5355713441 is 1443175535.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3080805025 + 2274908416 = 55505^2 + 47696^2 .

It is not a de Polignac number, because 5355713441 - 214 = 5355697057 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5355713395 and 5355713404.

It is not an unprimeable number, because it can be changed into a prime (5355713443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2562725 + ... + 2564813.

It is an arithmetic number, because the mean of its divisors is an integer number (249053805).

Almost surely, 25355713441 is an apocalyptic number.

It is an amenable number.

5355713441 is a deficient number, since it is larger than the sum of its proper divisors (621577879).

5355713441 is a wasteful number, since it uses less digits than its factorization.

5355713441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2216 counting only the distinct ones).

The product of its digits is 126000, while the sum is 38.

The square root of 5355713441 is about 73182.7400484568. The cubic root of 5355713441 is about 1749.6013721705.

Adding to 5355713441 its reverse (1443175535), we get a palindrome (6798888976).

The spelling of 5355713441 in words is "five billion, three hundred fifty-five million, seven hundred thirteen thousand, four hundred forty-one".

Divisors: 1 13 53 61 689 793 2089 3233 3721 27157 42029 48373 110717 127429 197213 1439321 1656577 2563769 6753737 7773169 87798581 101051197 411977957 5355713441