Search a number
-
+
11417072382 = 2322232844313
BaseRepresentation
bin10101010001000001…
…01011001011111110
31002110200020100222200
422220200223023332
5141340232304012
65124523252330
7552632341212
oct125040531376
932420210880
1011417072382
114929704511
12226767a0a6
1310cc465941
147a443a942
1546c4c63dc
hex2a882b2fe

11417072382 has 24 divisors (see below), whose sum is σ = 24847927104. Its totient is φ = 3788623584.

The previous prime is 11417072357. The next prime is 11417072399. The reversal of 11417072382 is 28327071411.

11417072382 is a `hidden beast` number, since 1 + 1 + 417 + 0 + 7 + 238 + 2 = 666.

11417072382 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1418143 + ... + 1426170.

It is an arithmetic number, because the mean of its divisors is an integer number (1035330296).

Almost surely, 211417072382 is an apocalyptic number.

11417072382 is an abundant number, since it is smaller than the sum of its proper divisors (13430854722).

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

11417072382 is a wasteful number, since it uses less digits than its factorization.

11417072382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844544 (or 2844541 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11417072382 in words is "eleven billion, four hundred seventeen million, seventy-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 223 446 669 1338 2007 4014 2844313 5688626 8532939 17065878 25598817 51197634 634281799 1268563598 1902845397 3805690794 5708536191 11417072382