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2011190912 = 27471811847
BaseRepresentation
bin111011111100000…
…0101011010000000
312012011102002021022
41313320011122000
513104331102122
6531322445012
7100560561233
oct16770053200
95164362238
102011190912
119422a0555
12481663768
13260894cc3
1415116d41a
15bb873642
hex77e05680

2011190912 has 64 divisors (see below), whose sum is σ = 4116752640. Its totient is φ = 978232320.

The previous prime is 2011190911. The next prime is 2011190921. The reversal of 2011190912 is 2190911102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20111909122 = 8089777769022783488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011190911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1087973 + ... + 1089819.

It is an arithmetic number, because the mean of its divisors is an integer number (64324260).

Almost surely, 22011190912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011190912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058376320).

2011190912 is an abundant number, since it is smaller than the sum of its proper divisors (2105561728).

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

2011190912 is a wasteful number, since it uses less digits than its factorization.

2011190912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 26.

The square root of 2011190912 is about 44846.3032144234. The cubic root of 2011190912 is about 1262.2666247320.

It can be divided in two parts, 2011190 and 912, that added together give a palindrome (2012102).

The spelling of 2011190912 in words is "two billion, eleven million, one hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 181 188 362 376 724 752 1448 1504 1847 2896 3008 3694 5792 6016 7388 8507 11584 14776 17014 23168 29552 34028 59104 68056 86809 118208 136112 173618 236416 272224 334307 347236 544448 668614 694472 1088896 1337228 1388944 2674456 2777888 5348912 5555776 10697824 11111552 15712429 21395648 31424858 42791296 62849716 125699432 251398864 502797728 1005595456 2011190912