Search a number
-
+
5589506169 = 38132712
BaseRepresentation
bin1010011010010100…
…10001100001111001
3112102112122100000000
411031022101201321
542421403144134
62322350303213
7255341006232
oct51512214171
915375570000
105589506169
112409148795
1210bbab7b09
136b1021c00
143b04b6089
1522aa9ee99
hex14d291879

5589506169 has 81 divisors (see below), whose sum is σ = 9208017039. Its totient is φ = 3391249680.

The previous prime is 5589506141. The next prime is 5589506171. The reversal of 5589506169 is 9616059855.

The square root of 5589506169 is 74763.

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

5589506169 is a `hidden beast` number, since 5 + 589 + 50 + 6 + 1 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 826850025 + 4762656144 = 28755^2 + 69012^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 5589506169 - 229 = 5052635257 is a prime.

It is a super-2 number, since 2×55895061692 = 62485158426578113122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5589506129) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78725404 + ... + 78725474.

Almost surely, 25589506169 is an apocalyptic number.

5589506169 is the 74763-rd square number.

5589506169 is the 37382-nd centered octagonal number.

It is an amenable number.

5589506169 is a deficient number, since it is larger than the sum of its proper divisors (3618510870).

5589506169 is an frugal number, since it uses more digits than its factorization.

5589506169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The cubic root of 5589506169 is about 1774.6980819816.

The spelling of 5589506169 in words is "five billion, five hundred eighty-nine million, five hundred six thousand, one hundred sixty-nine".

Divisors: 1 3 9 13 27 39 71 81 117 169 213 243 351 507 639 729 923 1053 1521 1917 2187 2769 3159 4563 5041 5751 6561 8307 9477 11999 13689 15123 17253 24921 28431 35997 41067 45369 51759 65533 74763 85293 107991 123201 136107 155277 196599 224289 323973 369603 408321 465831 589797 672867 851929 971919 1108809 1224963 1769391 2018601 2555787 2915757 3674889 5308173 6055803 7667361 8747271 11024667 15924519 23002083 26241813 33074001 47773557 69006249 78725439 143320671 207018747 429962013 621056241 1863168723 5589506169