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13533441066 = 2337110134949
BaseRepresentation
bin11001001101010011…
…11110110000101010
31021221011120001001000
430212221332300222
5210204030103231
610114524335430
7656241231255
oct144651766052
937834501030
1013533441066
115815302642
1227583a4576
131378a650c2
1492554809c
155431c36e6
hex326a7ec2a

13533441066 has 64 divisors (see below), whose sum is σ = 30800736000. Its totient is φ = 4403448000.

The previous prime is 13533441043. The next prime is 13533441091. The reversal of 13533441066 is 66014433531.

13533441066 is a `hidden beast` number, since 13 + 533 + 4 + 4 + 106 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13533441066.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369760 + ... + 404708.

It is an arithmetic number, because the mean of its divisors is an integer number (481261500).

Almost surely, 213533441066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13533441066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400368000).

13533441066 is an abundant number, since it is smaller than the sum of its proper divisors (17267294934).

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

13533441066 is a wasteful number, since it uses less digits than its factorization.

13533441066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35132 (or 35126 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13533441066 its reverse (66014433531), we get a palindrome (79547874597).

It can be divided in two parts, 135334 and 41066, that added together give a square (176400 = 4202).

The spelling of 13533441066 in words is "thirteen billion, five hundred thirty-three million, four hundred forty-one thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 71 101 142 202 213 303 426 606 639 909 1278 1818 1917 2727 3834 5454 7171 14342 21513 34949 43026 64539 69898 104847 129078 193617 209694 314541 387234 629082 943623 1887246 2481379 3529849 4962758 7059698 7444137 10589547 14888274 21179094 22332411 31768641 44664822 63537282 66997233 95305923 133994466 190611846 250619279 501238558 751857837 1503715674 2255573511 4511147022 6766720533 13533441066