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13322480891808 = 253111913917926687
BaseRepresentation
bin1100000111011110000110…
…1111011011011110100000
31202011121122121012012001010
43001313201233123132200
53221233420102014213
644200132505140520
72543342332063464
oct301674157333640
952147577165033
1013322480891808
11427703a168820
1215b1b9ba8a740
137583c616086a
14340b50b284a4
151818357b5ac3
hexc1de1bdb7a0

13322480891808 has 384 divisors, whose sum is σ = 40675074048000. Its totient is φ = 3775765847040.

The previous prime is 13322480891803. The next prime is 13322480891821. The reversal of 13322480891808 is 80819808422331.

It is a super-3 number, since 3×133224808918083 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (13322480891803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 499199041 + ... + 499225727.

It is an arithmetic number, because the mean of its divisors is an integer number (105924672000).

Almost surely, 213322480891808 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 13322480891808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337537024000).

13322480891808 is an abundant number, since it is smaller than the sum of its proper divisors (27352593156192).

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

13322480891808 is a wasteful number, since it uses less digits than its factorization.

13322480891808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27048 (or 27040 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 13322480891808 in words is "thirteen trillion, three hundred twenty-two billion, four hundred eighty million, eight hundred ninety-one thousand, eight hundred eight".