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20421513200 = 24521110145953
BaseRepresentation
bin10011000001001101…
…111000111111110000
31221201012200100122202
4103001031320333300
5313310401410300
613214223522332
71322030666234
oct230115707760
957635610582
1020421513200
11872a459140
123b5b1593a8
131c05b0c32a
14dba28a5c4
157e7c7dad5
hex4c1378ff0

20421513200 has 120 divisors (see below), whose sum is σ = 54054035856. Its totient is φ = 7352320000.

The previous prime is 20421513199. The next prime is 20421513223. The reversal of 20421513200 is 231512402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421424 + ... + 467376.

Almost surely, 220421513200 is an apocalyptic number.

20421513200 is a gapful number since it is divisible by the number (20) 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 20421513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27027017928).

20421513200 is an abundant number, since it is smaller than the sum of its proper divisors (33632522656).

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

20421513200 is a wasteful number, since it uses less digits than its factorization.

20421513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46083 (or 46072 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 20421513200 in words is "twenty billion, four hundred twenty-one million, five hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 45953 55550 88880 91906 111100 183812 222200 229765 367624 444400 459530 505483 735248 919060 1010966 1148825 1838120 2021932 2297650 2527415 3676240 4043864 4595300 4641253 5054830 8087728 9190600 9282506 10109660 12637075 18381200 18565012 20219320 23206265 25274150 37130024 40438640 46412530 50548300 51053783 74260048 92825060 101096600 102107566 116031325 185650120 202193200 204215132 232062650 255268915 371300240 408430264 464125300 510537830 816860528 928250600 1021075660 1276344575 1856501200 2042151320 2552689150 4084302640 5105378300 10210756600 20421513200