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13320666144 = 2532307150659
BaseRepresentation
bin11000110011111100…
…10011110000100000
31021101100011221201100
430121332103300200
5204240042304034
610041444034400
7651045536232
oct143176236040
937340157640
1013320666144
1157161946a5
1226b9092a00
131343957196
1490519c252
1552e694099
hex319f93c20

13320666144 has 72 divisors (see below), whose sum is σ = 38004286320. Its totient is φ = 4425729408.

The previous prime is 13320666143. The next prime is 13320666157. The reversal of 13320666144 is 44166602331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13320666099 and 13320666108.

It is not an unprimeable number, because it can be changed into a prime (13320666143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13087 + ... + 163745.

It is an arithmetic number, because the mean of its divisors is an integer number (527837310).

Almost surely, 213320666144 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 13320666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19002143160).

13320666144 is an abundant number, since it is smaller than the sum of its proper divisors (24683620176).

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

13320666144 is a wasteful number, since it uses less digits than its factorization.

13320666144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150982 (or 150971 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13320666144 in words is "thirteen billion, three hundred twenty million, six hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 9824 11052 14736 22104 29472 44208 88416 150659 301318 451977 602636 903954 1205272 1355931 1807908 2410544 2711862 3615816 4821088 5423724 7231632 10847448 14463264 21694896 43389792 46252313 92504626 138756939 185009252 277513878 370018504 416270817 555027756 740037008 832541634 1110055512 1480074016 1665083268 2220111024 3330166536 4440222048 6660333072 13320666144