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11418414820 = 2251733583573
BaseRepresentation
bin10101010001001011…
…10010111011100100
31002110202202120110121
422220211302323210
5141341103233240
65125012131324
7552646632061
oct125045627344
932422676417
1011418414820
11492a44106a
122268006b44
1310cc815997
147a46a9c68
1546c68e04a
hex2a8972ee4

11418414820 has 24 divisors (see below), whose sum is σ = 25389181944. Its totient is φ = 4298697216.

The previous prime is 11418414797. The next prime is 11418414827. The reversal of 11418414820 is 2841481411.

11418414820 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 4 ways, for example, as 1161991744 + 10256423076 = 34088^2 + 101274^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (11418414827) 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 7 ways as a sum of consecutive naturals, for example, 16791447 + ... + 16792126.

It is an arithmetic number, because the mean of its divisors is an integer number (1057882581).

Almost surely, 211418414820 is an apocalyptic number.

11418414820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11418414820 is an abundant number, since it is smaller than the sum of its proper divisors (13970767124).

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

11418414820 is a wasteful number, since it uses less digits than its factorization.

11418414820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33583599 (or 33583597 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The spelling of 11418414820 in words is "eleven billion, four hundred eighteen million, four hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 33583573 67167146 134334292 167917865 335835730 570920741 671671460 1141841482 2283682964 2854603705 5709207410 11418414820