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13534103532 = 2232353947977
BaseRepresentation
bin11001001101011001…
…00000011111101100
31021221012210200202210
430212230200133230
5210204212303112
610114550450420
7656246660535
oct144654403754
937835720683
1013534103532
115815715334
122758663a10
131378c377b1
1492567b68c
155432a4b3c
hex326b207ec

13534103532 has 96 divisors (see below), whose sum is σ = 33644201472. Its totient is φ = 4225002496.

The previous prime is 13534103459. The next prime is 13534103533. The reversal of 13534103532 is 23530143531.

13534103532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13534103532.

It is not an unprimeable number, because it can be changed into a prime (13534103533) 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 31 ways as a sum of consecutive naturals, for example, 13852228 + ... + 13853204.

It is an arithmetic number, because the mean of its divisors is an integer number (350460432).

Almost surely, 213534103532 is an apocalyptic number.

13534103532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13534103532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822100736).

13534103532 is an abundant number, since it is smaller than the sum of its proper divisors (20110097940).

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

13534103532 is a wasteful number, since it uses less digits than its factorization.

13534103532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 13534103532 in words is "thirteen billion, five hundred thirty-four million, one hundred three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 947 977 1219 1894 1954 2438 2841 2931 3657 3788 3908 4876 5682 5862 7314 11364 11724 14628 21781 22471 43562 44942 50191 51781 65343 67413 87124 89884 100382 103562 130686 134826 150573 155343 200764 207124 261372 269652 301146 310686 602292 621372 925219 1154393 1190963 1850438 2308786 2381926 2775657 3463179 3572889 3700876 4617572 4763852 5551314 6926358 7145778 11102628 13852716 14291556 21280037 42560074 49036607 63840111 85120148 98073214 127680222 147109821 196146428 255360444 294219642 588439284 1127841961 2255683922 3383525883 4511367844 6767051766 13534103532