Search a number
-
+
14788822050 = 2310525009
BaseRepresentation
bin11011100010111101…
…11000010000100010
31102011122210000000000
431301132320100202
5220241414301200
610443251440430
71032323625162
oct156136702042
942148700000
1014788822050
1162a99a4992
122a488b6116
131518b79ca2
14a041725a2
155b84ed300
hex3717b8422

14788822050 has 132 divisors (see below), whose sum is σ = 41268817890. Its totient is φ = 3942898560.

The previous prime is 14788822043. The next prime is 14788822073. The reversal of 14788822050 is 5022888741.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10766345121 + 4022476929 = 103761^2 + 63423^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14788821987 and 14788822005.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 2949946 + ... + 2954954.

Almost surely, 214788822050 is an apocalyptic number.

14788822050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14788822050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20634408945).

14788822050 is an abundant number, since it is smaller than the sum of its proper divisors (26479995840).

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

14788822050 is an frugal number, since it uses more digits than its factorization.

14788822050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 14788822050 in words is "fourteen billion, seven hundred eighty-eight million, eight hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2187 2430 3645 4050 4374 5009 6075 6561 7290 10018 10935 12150 13122 15027 18225 19683 21870 25045 30054 32805 36450 39366 45081 50090 54675 59049 65610 75135 90162 98415 109350 118098 125225 135243 150270 164025 196830 225405 250450 270486 295245 328050 375675 405729 450810 492075 590490 676215 751350 811458 984150 1127025 1217187 1352430 1476225 2028645 2254050 2434374 2952450 3381075 3651561 4057290 6085935 6762150 7303122 10143225 10954683 12171870 18257805 20286450 21909366 30429675 32864049 36515610 54773415 60859350 65728098 91289025 98592147 109546830 164320245 182578050 197184294 273867075 295776441 328640490 492960735 547734150 591552882 821601225 985921470 1478882205 1643202450 2464803675 2957764410 4929607350 7394411025 14788822050