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11514319812 = 2232319842217
BaseRepresentation
bin10101011100100111…
…01001001111000100
31002201110020001101100
422232103221033010
5142040131213222
65142315500100
7555223050342
oct125623511704
932643201340
1011514319812
114979595996
122294157630
1311166545b8
147b3312992
15475cd54ac
hex2ae4e93c4

11514319812 has 18 divisors (see below), whose sum is σ = 29105641838. Its totient is φ = 3838106592.

The previous prime is 11514319727. The next prime is 11514319813. The reversal of 11514319812 is 21891341511.

11514319812 is a `hidden beast` number, since 11 + 514 + 31 + 98 + 12 = 666.

11514319812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11514148416 + 171396 = 107304^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 319842217 = 11514319812 / (1 + 1 + 5 + 1 + 4 + 3 + 1 + 9 + 8 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (11514319813) 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 5 ways as a sum of consecutive naturals, for example, 159921073 + ... + 159921144.

Almost surely, 211514319812 is an apocalyptic number.

11514319812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11514319812 is an abundant number, since it is smaller than the sum of its proper divisors (17591322026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11514319812 is a wasteful number, since it uses less digits than its factorization.

11514319812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319842227 (or 319842222 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The spelling of 11514319812 in words is "eleven billion, five hundred fourteen million, three hundred nineteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 319842217 639684434 959526651 1279368868 1919053302 2878579953 3838106604 5757159906 11514319812