Search a number
-
+
12824196890 = 254173428473
BaseRepresentation
bin10111111000110000…
…11011011100011010
31020002201222200221012
423330120123130122
5202230443300030
65520311013522
7632536606061
oct137430333432
936081880835
1012824196890
115490a19a2a
12259a96a2a2
131294b3a1ab
148992851d8
15500cc7095
hex2fc61b71a

12824196890 has 32 divisors (see below), whose sum is σ = 23970549456. Its totient is φ = 4935997440.

The previous prime is 12824196881. The next prime is 12824196907. The reversal of 12824196890 is 9869142821.

It can be written as a sum of positive squares in 8 ways, for example, as 3707957449 + 9116239441 = 60893^2 + 95479^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 15 ways as a sum of consecutive naturals, for example, 184307 + ... + 244166.

Almost surely, 212824196890 is an apocalyptic number.

12824196890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12824196890 is a deficient number, since it is larger than the sum of its proper divisors (11146352566).

12824196890 is a wasteful number, since it uses less digits than its factorization.

12824196890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428594.

The product of its (nonzero) digits is 497664, while the sum is 50.

The spelling of 12824196890 in words is "twelve billion, eight hundred twenty-four million, one hundred ninety-six thousand, eight hundred ninety".

Divisors: 1 2 5 10 41 73 82 146 205 365 410 730 2993 5986 14965 29930 428473 856946 2142365 4284730 17567393 31278529 35134786 62557058 87836965 156392645 175673930 312785290 1282419689 2564839378 6412098445 12824196890