Search a number
-
+
5188753089 = 3213218472
BaseRepresentation
bin1001101010100011…
…00001011011000001
3111101121112222010100
410311101201123001
541111310044324
62214512553013
7242403450012
oct46521413301
914347488110
105188753089
112222a08aa3
121009852769
13648ca8900
14373197009
152057dd4c9
hex1354616c1

5188753089 has 27 divisors (see below), whose sum is σ = 8120138403. Its totient is φ = 3191350032.

The previous prime is 5188753081. The next prime is 5188753153. The reversal of 5188753089 is 9803578815.

The square root of 5188753089 is 72033.

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., 767567025 + 4421186064 = 27705^2 + 66492^2 .

It is not a de Polignac number, because 5188753089 - 23 = 5188753081 is a prime.

It is a Smith number, since the sum of its digits (54) 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 (5188753081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2808364 + ... + 2810210.

Almost surely, 25188753089 is an apocalyptic number.

5188753089 is the 72033-rd square number.

5188753089 is the 36017-th centered octagonal number.

It is an amenable number.

5188753089 is a deficient number, since it is larger than the sum of its proper divisors (2931385314).

5188753089 is an equidigital number, since it uses as much as digits as its factorization.

5188753089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The cubic root of 5188753089 is about 1731.2282688232.

It can be divided in two parts, 51887 and 53089, that added together give a 4-th power (104976 = 184).

The spelling of 5188753089 in words is "five billion, one hundred eighty-eight million, seven hundred fifty-three thousand, eighty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 1847 5541 16623 24011 72033 216099 312143 936429 2809287 3411409 10234227 30702681 44348317 133044951 399134853 576528121 1729584363 5188753089