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11216716281 = 324328212
BaseRepresentation
bin10100111001001000…
…11000000111111001
31001221201020020002100
422130210120013321
5140432434410111
65053005054013
7544650341511
oct123444300771
931851206070
1011216716281
1148365a8a61
122210557309
131099ab5534
147859a4841
15459aeb756
hex29c9181f9

11216716281 has 27 divisors (see below), whose sum is σ = 16607703567. Its totient is φ = 7295011920.

The previous prime is 11216716219. The next prime is 11216716289. The reversal of 11216716281 is 18261761211.

The square root of 11216716281 is 105909.

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

11216716281 is a `hidden beast` number, since 1 + 1 + 21 + 6 + 7 + 1 + 628 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3062626281 + 8154090000 = 55341^2 + 90300^2 .

It is not a de Polignac number, because 11216716281 - 219 = 11216191993 is a prime.

It is a super-2 number, since 2×112167162812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11216716289) 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, 13661851 + ... + 13662671.

Almost surely, 211216716281 is an apocalyptic number.

11216716281 is the 105909-th square number.

11216716281 is the 52955-th centered octagonal number.

It is an amenable number.

11216716281 is a deficient number, since it is larger than the sum of its proper divisors (5390987286).

11216716281 is an frugal number, since it uses more digits than its factorization.

11216716281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 867 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

Multiplying 11216716281 by its sum of digits (36), we get a square (403801786116 = 6354542).

The spelling of 11216716281 in words is "eleven billion, two hundred sixteen million, seven hundred sixteen thousand, two hundred eighty-one".

Divisors: 1 3 9 43 129 387 821 1849 2463 5547 7389 16641 35303 105909 317727 674041 1518029 2022123 4554087 6066369 13662261 28983763 86951289 260853867 1246301809 3738905427 11216716281