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11076988967011 = 112392947128703
BaseRepresentation
bin1010000100110000111111…
…1111100001100001100011
31110012221122101222102120001
42201030033333201201203
52422441133133421021
635320410512200431
72222200053461152
oct241141777414143
943187571872501
1011076988967011
1135907a754a380
1212aa965239117
1362472b7b0836
142a41b4475599
15143210655091
hexa130ffe1863

11076988967011 has 16 divisors (see below), whose sum is σ = 12622952079360. Its totient is φ = 9621795800320.

The previous prime is 11076988966987. The next prime is 11076988967017.

It is a happy number.

11076988967011 is nontrivially palindromic in base 10.

11076988967011 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 11076988967011 - 29 = 11076988966499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11076988967017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23329315 + ... + 23799388.

It is an arithmetic number, because the mean of its divisors is an integer number (788934504960).

Almost surely, 211076988967011 is an apocalyptic number.

11076988967011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11076988967011 is a deficient number, since it is larger than the sum of its proper divisors (1545963112349).

11076988967011 is a wasteful number, since it uses less digits than its factorization.

11076988967011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47129666.

The product of its (nonzero) digits is 9144576, while the sum is 64.

The spelling of 11076988967011 in words is "eleven trillion, seventy-six billion, nine hundred eighty-eight million, nine hundred sixty-seven thousand, eleven".

Divisors: 1 11 23 253 929 10219 21367 235037 47128703 518415733 1083960169 11923561859 43782565087 481608215957 1006998997001 11076988967011