Search a number
-
+
10996248769 = 11295332
BaseRepresentation
bin10100011110110110…
…10111000011000001
31001101100101022111221
422033123113003001
5140010014430034
65015051435041
7536332400212
oct121733270301
931340338457
1010996248769
114733106500
12216a755a81
13106321309c
147645b5409
1544559cbb4
hex28f6d70c1

10996248769 has 9 divisors (see below), whose sum is σ = 12088053859. Its totient is φ = 9995541160.

The previous prime is 10996248763. The next prime is 10996248799. The reversal of 10996248769 is 96784269901.

The square root of 10996248769 is 104863.

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

10996248769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1854594225 + 9141654544 = 43065^2 + 95612^2 .

It is not a de Polignac number, because 10996248769 - 211 = 10996246721 is a prime.

It is a super-2 number, since 2×109962487692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10996248763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1148727 + ... + 1158259.

Almost surely, 210996248769 is an apocalyptic number.

10996248769 is the 104863-rd square number.

10996248769 is the 52432-nd centered octagonal number.

It is an amenable number.

10996248769 is a deficient number, since it is larger than the sum of its proper divisors (1091805090).

10996248769 is an frugal number, since it uses more digits than its factorization.

10996248769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19088 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 10996248769 in words is "ten billion, nine hundred ninety-six million, two hundred forty-eight thousand, seven hundred sixty-nine".

Divisors: 1 11 121 9533 104863 1153493 90878089 999658979 10996248769