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11418226848 = 253275663803
BaseRepresentation
bin10101010001001010…
…00101000010100000
31002110202102000121200
422220211011002200
5141341031224343
65125004121200
7552645220050
oct125045050240
932422360550
1011418226848
11492a322916
122267b36200
1310cc77b262
147a465b560
1546c6534d3
hex2a89450a0

11418226848 has 72 divisors (see below), whose sum is σ = 37109243808. Its totient is φ = 3262349952.

The previous prime is 11418226823. The next prime is 11418226861. The reversal of 11418226848 is 84862281411.

11418226848 is a `hidden beast` number, since 1 + 1 + 418 + 226 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2829886 + ... + 2833917.

It is an arithmetic number, because the mean of its divisors is an integer number (515406164).

Almost surely, 211418226848 is an apocalyptic number.

11418226848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11418226848 is an abundant number, since it is smaller than the sum of its proper divisors (25691016960).

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

11418226848 is a wasteful number, since it uses less digits than its factorization.

11418226848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663826 (or 5663815 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The spelling of 11418226848 in words is "eleven billion, four hundred eighteen million, two hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5663803 11327606 16991409 22655212 33982818 39646621 45310424 50974227 67965636 79293242 90620848 101948454 118939863 135931272 158586484 181241696 203896908 237879726 271862544 317172968 356819589 407793816 475759452 543725088 634345936 713639178 815587632 951518904 1268691872 1427278356 1631175264 1903037808 2854556712 3806075616 5709113424 11418226848