Search a number
-
+
11456919369 = 347216992
BaseRepresentation
bin10101010101110001…
…01011011101001001
31002120110012210210000
422222320223131021
5141430432404434
65132505313213
7553625131200
oct125270533511
932513183700
1011456919369
11494a150105
122278a95809
1311077a793c
147a9850237
15470c47b99
hex2aae2b749

11456919369 has 45 divisors (see below), whose sum is σ = 19920611997. Its totient is φ = 6542957736.

The previous prime is 11456919343. The next prime is 11456919379. The reversal of 11456919369 is 96391965411.

It is a happy number.

The square root of 11456919369 is 107037.

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

11456919369 is a `hidden beast` number, since 1 + 1 + 4 + 569 + 19 + 3 + 69 = 666.

It is not a de Polignac number, because 11456919369 - 213 = 11456911177 is a prime.

It is a super-2 number, since 2×114569193692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11456919319) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6742482 + ... + 6744180.

Almost surely, 211456919369 is an apocalyptic number.

11456919369 is the 107037-th square number.

11456919369 is the 53519-th centered octagonal number.

It is an amenable number.

11456919369 is a deficient number, since it is larger than the sum of its proper divisors (8463692628).

11456919369 is an frugal number, since it uses more digits than its factorization.

11456919369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 1709 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 54.

The spelling of 11456919369 in words is "eleven billion, four hundred fifty-six million, nine hundred nineteen thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 1699 3969 5097 11893 15291 35679 45873 83251 107037 137619 249753 321111 749259 963333 2247777 2886601 6743331 8659803 20206207 25979409 60618621 77938227 141443449 181855863 233814681 424330347 545567589 1272991041 1636702767 3818973123 11456919369