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11166148899 = 3259199251421
BaseRepresentation
bin10100110011000110…
…11110100100100011
31001211012002010200100
422121203132210203
5140332013231044
65044001153443
7543464461653
oct123143364443
931735063610
1011166148899
11480aaaaa34
1221b762b883
13108c48bac9
1477cda0363
1545545d869
hex2998de923

11166148899 has 48 divisors (see below), whose sum is σ = 16589664000. Its totient is φ = 7234920000.

The previous prime is 11166148837. The next prime is 11166148909. The reversal of 11166148899 is 99884166111.

11166148899 is a `hidden beast` number, since 1 + 1 + 16 + 61 + 488 + 99 = 666.

11166148899 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1056702-1.

It is not a de Polignac number, because 11166148899 - 219 = 11165624611 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11166148699) 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 47 ways as a sum of consecutive naturals, for example, 26522709 + ... + 26523129.

It is an arithmetic number, because the mean of its divisors is an integer number (345618000).

Almost surely, 211166148899 is an apocalyptic number.

11166148899 is a deficient number, since it is larger than the sum of its proper divisors (5423515101).

11166148899 is a wasteful number, since it uses less digits than its factorization.

11166148899 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 933 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The spelling of 11166148899 in words is "eleven billion, one hundred sixty-six million, one hundred forty-eight thousand, eight hundred ninety-nine".

Divisors: 1 3 9 59 177 199 251 421 531 597 753 1263 1791 2259 3789 11741 14809 24839 35223 44427 49949 74517 83779 105669 105671 133281 149847 223551 251337 317013 449541 754011 951039 2946991 4942961 6234589 8840973 14828883 18703767 21028529 26522919 44486649 56111301 63085587 189256761 1240683211 3722049633 11166148899