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13533435020 = 2257317194337
BaseRepresentation
bin11001001101010011…
…11101010010001100
31021221011112201202002
430212221331102030
5210204024410040
610114524251432
7656241204530
oct144651752214
937834481662
1013533435020
1158152a9046
1227583a0b78
131378a62421
14925545bc0
155431c1a15
hex326a7d48c

13533435020 has 96 divisors (see below), whose sum is σ = 33582366720. Its totient is φ = 4483077120.

The previous prime is 13533435001. The next prime is 13533435023. The reversal of 13533435020 is 2053433531.

13533435020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13533435023) 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, 3118292 + ... + 3122628.

It is an arithmetic number, because the mean of its divisors is an integer number (349816320).

Almost surely, 213533435020 is an apocalyptic number.

13533435020 is a gapful number since it is divisible by the number (10) 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 13533435020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16791183360).

13533435020 is an abundant number, since it is smaller than the sum of its proper divisors (20048931700).

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

13533435020 is a wasteful number, since it uses less digits than its factorization.

13533435020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

Adding to 13533435020 its reverse (2053433531), we get a palindrome (15586868551).

The spelling of 13533435020 in words is "thirteen billion, five hundred thirty-three million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 719 868 1085 1438 2170 2876 3595 4337 4340 5033 7190 8674 10066 14380 17348 20132 21685 22289 25165 30359 43370 44578 50330 60718 86740 89156 100660 111445 121436 134447 151795 156023 222890 268894 303590 312046 445780 537788 607180 624092 672235 780115 941129 1344470 1560230 1882258 2688940 3118303 3120460 3764516 4705645 6236606 9411290 12473212 15591515 18822580 21828121 31183030 43656242 62366060 87312484 96667393 109140605 193334786 218281210 386669572 436562420 483336965 676671751 966673930 1353343502 1933347860 2706687004 3383358755 6766717510 13533435020