Search a number
-
+
19993575200 = 255224991969
BaseRepresentation
bin10010100111101101…
…011011111100100000
31220121101102212002012
4102213231123330200
5311421323401300
613103535412052
71305313404464
oct224755337440
956541385065
1019993575200
11852a940a75
123a5b984028
131b68268491
14d794d24a4
157c03ec435
hex4a7b5bf20

19993575200 has 36 divisors (see below), whose sum is σ = 48809317410. Its totient is φ = 7997429760.

The previous prime is 19993575197. The next prime is 19993575211. The reversal of 19993575200 is 257539991.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8057575696 + 11935999504 = 89764^2 + 109252^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12495185 + ... + 12496784.

Almost surely, 219993575200 is an apocalyptic number.

19993575200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19993575200 is an abundant number, since it is smaller than the sum of its proper divisors (28815742210).

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

19993575200 is a wasteful number, since it uses less digits than its factorization.

19993575200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24991989 (or 24991976 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 50.

The spelling of 19993575200 in words is "nineteen billion, nine hundred ninety-three million, five hundred seventy-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 24991969 49983938 99967876 124959845 199935752 249919690 399871504 499839380 624799225 799743008 999678760 1249598450 1999357520 2499196900 3998715040 4998393800 9996787600 19993575200