Search a number
-
+
9675282825769 = 112733859712689
BaseRepresentation
bin1000110011001011001111…
…0010111100001000101001
31021020221121002120200021211
42030302303302330020221
52232004434400411034
632324432533033121
72016005346040321
oct214626362741051
937227532520254
109675282825769
1130a029aa14a00
1211031747857a1
135524b558a042
14256401426281
1511ba2282bd64
hex8ccb3cbc229

9675282825769 has 24 divisors (see below), whose sum is σ = 10651401701640. Its totient is φ = 8781998184960.

The previous prime is 9675282825751. The next prime is 9675282825829.

9675282825769 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3062542000144 + 6612740825625 = 1750012^2 + 2571525^2 .

It is not a de Polignac number, because 9675282825769 - 223 = 9675274437161 is a prime.

It is a super-2 number, since 2×96752828257692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9675282825695 and 9675282825704.

It is not an unprimeable number, because it can be changed into a prime (9675282825269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762487377 + ... + 762500065.

It is an arithmetic number, because the mean of its divisors is an integer number (443808404235).

Almost surely, 29675282825769 is an apocalyptic number.

It is an amenable number.

9675282825769 is a deficient number, since it is larger than the sum of its proper divisors (976118875871).

9675282825769 is a wasteful number, since it uses less digits than its factorization.

9675282825769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22041 (or 22030 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 76.

The spelling of 9675282825769 in words is "nine trillion, six hundred seventy-five billion, two hundred eighty-two million, eight hundred twenty-five thousand, seven hundred sixty-nine".

Divisors: 1 11 121 733 8063 8597 12689 88693 94567 139579 1040237 1535369 6301601 9301037 69317611 102311407 109087333 762493721 1125425477 1199960663 13199567293 79961015089 879571165979 9675282825769