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11216456163 = 3211172392033
BaseRepresentation
bin10100111001000110…
…11000100111100011
31001221200202000021100
422130203120213203
5140432403044123
65052555325443
7544645206243
oct123443304743
931850660240
1011216456163
114836440590
122210450883
131099a24013
14785937b23
15459a99643
hex29c8d89e3

11216456163 has 36 divisors (see below), whose sum is σ = 18775292328. Its totient is φ = 6397962240.

The previous prime is 11216456149. The next prime is 11216456189. The reversal of 11216456163 is 36165461211.

11216456163 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 645 + 6 + 1 + 6 + 3 = 666.

11216456163 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11216456163 - 29 = 11216455651 is a prime.

It is a super-3 number, since 3×112164561633 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11216456123) 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 35 ways as a sum of consecutive naturals, for example, 167406 + ... + 224627.

It is an arithmetic number, because the mean of its divisors is an integer number (521535898).

Almost surely, 211216456163 is an apocalyptic number.

11216456163 is a deficient number, since it is larger than the sum of its proper divisors (7558836165).

11216456163 is a wasteful number, since it uses less digits than its factorization.

11216456163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392084 (or 392064 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11216456163 in words is "eleven billion, two hundred sixteen million, four hundred fifty-six thousand, one hundred sixty-three".

Divisors: 1 3 9 11 17 33 51 99 153 187 289 561 867 1683 2601 3179 9537 28611 392033 1176099 3528297 4312363 6664561 12937089 19993683 38811267 59981049 73310171 113297537 219930513 339892611 659791539 1019677833 1246272907 3738818721 11216456163