Search a number
-
+
16444221161600 = 275235471448779
BaseRepresentation
bin1110111101001011011111…
…1101100000000010000000
32011020001102001020221100102
43233102313331200002000
54123410231104132400
654550212041141532
73315025062416051
oct357226775400200
964201361227312
1016444221161600
11526aa56167011
121a1700048a8a8
139238b658395b
1440bc94132728
151d7b42b6a9d5
hexef4b7f60080

16444221161600 has 96 divisors (see below), whose sum is σ = 40633845733200. Its totient is φ = 6575829488640.

The previous prime is 16444221161591. The next prime is 16444221161623. The reversal of 16444221161600 is 616112244461.

It is a super-2 number, since 2×164442211616002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10626011 + ... + 12074789.

Almost surely, 216444221161600 is an apocalyptic number.

16444221161600 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 16444221161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316922866600).

16444221161600 is an abundant number, since it is smaller than the sum of its proper divisors (24189624571600).

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

16444221161600 is a wasteful number, since it uses less digits than its factorization.

16444221161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452350 (or 1452333 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 16444221161600 in words is "sixteen trillion, four hundred forty-four billion, two hundred twenty-one million, one hundred sixty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 3547 7094 14188 17735 28376 35470 56752 70940 88675 113504 141880 177350 227008 283760 354700 454016 567520 709400 1135040 1418800 1448779 2270080 2837600 2897558 5675200 5795116 7243895 11350400 11590232 14487790 23180464 28975580 36219475 46360928 57951160 72438950 92721856 115902320 144877900 185443712 231804640 289755800 463609280 579511600 927218560 1159023200 2318046400 4636092800 5138819113 10277638226 20555276452 25694095565 41110552904 51388191130 82221105808 102776382260 128470477825 164442211616 205552764520 256940955650 328884423232 411105529040 513881911300 657768846464 822211058080 1027763822600 1644422116160 2055527645200 3288844232320 4111055290400 8222110580800 16444221161600