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11182910920 = 2352419071279
BaseRepresentation
bin10100110101000110…
…11010110111001000
31001212100121201211221
422122203122313020
5140400311122140
65045400331424
7544060113556
oct123243326710
931770551757
1011182910920
114819509545
122201173b74
131092aaa46c
147812c4bd6
15456b7014a
hex29a8dadc8

11182910920 has 64 divisors (see below), whose sum is σ = 25313587200. Its totient is φ = 4446213120.

The previous prime is 11182910903. The next prime is 11182910939. The reversal of 11182910920 is 2901928111.

11182910920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8742841 + ... + 8744119.

It is an arithmetic number, because the mean of its divisors is an integer number (395524800).

Almost surely, 211182910920 is an apocalyptic number.

11182910920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11182910920 is an abundant number, since it is smaller than the sum of its proper divisors (14130676280).

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

11182910920 is a wasteful number, since it uses less digits than its factorization.

11182910920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 34.

The spelling of 11182910920 in words is "eleven billion, one hundred eighty-two million, nine hundred ten thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 241 482 907 964 1205 1279 1814 1928 2410 2558 3628 4535 4820 5116 6395 7256 9070 9640 10232 12790 18140 25580 36280 51160 218587 308239 437174 616478 874348 1092935 1160053 1232956 1541195 1748696 2185870 2320106 2465912 3082390 4371740 4640212 5800265 6164780 8743480 9280424 11600530 12329560 23201060 46402120 279572773 559145546 1118291092 1397863865 2236582184 2795727730 5591455460 11182910920