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13541752112 = 2472167293353
BaseRepresentation
bin11001001110010011…
…01011110100110000
31021221202012021122112
430213021223310300
5210213142031422
610115422424452
7656401664600
oct144711536460
937852167575
1013541752112
115819a69879
12275b132128
13137a6b4c95
149266acc00
15543cb5ee2
hex32726bd30

13541752112 has 120 divisors (see below), whose sum is σ = 30895585056. Its totient is φ = 5732880384.

The previous prime is 13541752111. The next prime is 13541752139. The reversal of 13541752112 is 21125714531.

13541752112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×135417521124 (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (13541752111) 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 23 ways as a sum of consecutive naturals, for example, 38361728 + ... + 38362080.

Almost surely, 213541752112 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 13541752112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447792528).

13541752112 is an abundant number, since it is smaller than the sum of its proper divisors (17353832944).

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

13541752112 is a wasteful number, since it uses less digits than its factorization.

13541752112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 822 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The spelling of 13541752112 in words is "thirteen billion, five hundred forty-one million, seven hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 167 196 293 334 353 392 586 668 706 784 1169 1172 1336 1412 2051 2338 2344 2471 2672 2824 4102 4676 4688 4942 5648 8183 8204 9352 9884 14357 16366 16408 17297 18704 19768 28714 32732 32816 34594 39536 48931 57428 58951 65464 69188 97862 103429 114856 117902 130928 138376 195724 206858 229712 235804 276752 342517 391448 412657 413716 471608 685034 724003 782896 825314 827432 943216 1370068 1448006 1650628 1654864 2397619 2740136 2888599 2896012 3301256 4795238 5068021 5480272 5777198 5792024 6602512 9590476 10136042 11554396 11584048 17272643 19180952 20272084 23108792 34545286 38361904 40544168 46217584 69090572 81088336 120908501 138181144 241817002 276362288 483634004 846359507 967268008 1692719014 1934536016 3385438028 6770876056 13541752112