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11328518344 = 231113173111873
BaseRepresentation
bin10101000110011101…
…10111100011001000
31002020111121100200111
422203032313203020
5141200100041334
65112041244104
7550505550163
oct124316674310
932214540614
1011328518344
114893720560
122241a93634
1310b6ccbbc0
14796788ada
15464833064
hex2a33b78c8

11328518344 has 128 divisors (see below), whose sum is σ = 26521447680. Its totient is φ = 4456857600.

The previous prime is 11328518339. The next prime is 11328518351. The reversal of 11328518344 is 44381582311.

11328518344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11328518297 and 11328518306.

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 31 ways as a sum of consecutive naturals, for example, 6047392 + ... + 6049264.

It is an arithmetic number, because the mean of its divisors is an integer number (207198810).

Almost surely, 211328518344 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 11328518344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260723840).

11328518344 is an abundant number, since it is smaller than the sum of its proper divisors (15192929336).

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

11328518344 is a wasteful number, since it uses less digits than its factorization.

11328518344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2227 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The spelling of 11328518344 in words is "eleven billion, three hundred twenty-eight million, five hundred eighteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 311 374 442 572 622 748 884 1144 1244 1496 1768 1873 2431 2488 3421 3746 4043 4862 5287 6842 7492 8086 9724 10574 13684 14984 16172 19448 20603 21148 24349 27368 31841 32344 41206 42296 44473 48698 58157 63682 68731 82412 88946 97396 116314 127364 137462 164824 177892 194792 232628 254728 267839 274924 350251 355784 413933 465256 535678 549848 582503 700502 756041 827866 1071356 1165006 1401004 1512082 1655732 2142712 2330012 2802008 3024164 3311464 4553263 4660024 6048328 6407533 7572539 9106526 9902551 12815066 15145078 18213052 19805102 25630132 30290156 36426104 39610204 51260264 60580312 79220408 83297929 108928061 128733163 166595858 217856122 257466326 333191716 435712244 514932652 666383432 871424488 1029865304 1416064793 2832129586 5664259172 11328518344