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11332225755 = 3351710148889
BaseRepresentation
bin10101000110111010…
…00000101011011011
31002020202120201022000
422203131000223123
5141202022211010
65112252532043
7550552221024
oct124335005333
932222521260
1011332225755
114895822a34
122243181023
1310b79c9536
14797071c4b
15464d167c0
hex2a3740adb

11332225755 has 64 divisors (see below), whose sum is σ = 21542889600. Its totient is φ = 5631897600.

The previous prime is 11332225753. The next prime is 11332225769. The reversal of 11332225755 is 55752223311.

11332225755 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 11332225755 - 21 = 11332225753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11332225753) 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 63 ways as a sum of consecutive naturals, for example, 207351 + ... + 256239.

It is an arithmetic number, because the mean of its divisors is an integer number (336607650).

Almost surely, 211332225755 is an apocalyptic number.

11332225755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11332225755 is a deficient number, since it is larger than the sum of its proper divisors (10210663845).

11332225755 is a wasteful number, since it uses less digits than its factorization.

11332225755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49021 (or 49015 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The spelling of 11332225755 in words is "eleven billion, three hundred thirty-two million, two hundred twenty-five thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 101 135 153 255 303 459 505 765 909 1515 1717 2295 2727 4545 5151 8585 13635 15453 25755 46359 48889 77265 146667 231795 244445 440001 733335 831113 1320003 2200005 2493339 4155565 4937789 6600015 7480017 12466695 14813367 22440051 24688945 37400085 44440101 74066835 83942413 112200255 133320303 222200505 251827239 419712065 666601515 755481717 1259136195 2266445151 3777408585 11332225755