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13449681408 = 29328330941
BaseRepresentation
bin11001000011010100…
…11101101000000000
31021201022221121101110
430201222131220000
5210021104301113
610102333203320
7654203256102
oct144152355000
937638847343
1013449681408
115781aa3789
122734330540
1313645b9687
14918383572
1553ab7abc3
hex321a9da00

13449681408 has 80 divisors (see below), whose sum is σ = 35958564576. Its totient is φ = 4467240960.

The previous prime is 13449681407. The next prime is 13449681419. The reversal of 13449681408 is 80418694431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13449681407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419218 + ... + 450158.

Almost surely, 213449681408 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 13449681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979282288).

13449681408 is an abundant number, since it is smaller than the sum of its proper divisors (22508883168).

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

13449681408 is an equidigital number, since it uses as much as digits as its factorization.

13449681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31245 (or 31229 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 13449681408 in words is "thirteen billion, four hundred forty-nine million, six hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 283 384 512 566 768 849 1132 1536 1698 2264 3396 4528 6792 9056 13584 18112 27168 30941 36224 54336 61882 72448 92823 108672 123764 144896 185646 217344 247528 371292 434688 495056 742584 990112 1485168 1980224 2970336 3960448 5940672 7920896 8756303 11881344 15841792 17512606 23762688 26268909 35025212 47525376 52537818 70050424 105075636 140100848 210151272 280201696 420302544 560403392 840605088 1120806784 1681210176 2241613568 3362420352 4483227136 6724840704 13449681408