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12824203536 = 243294372
BaseRepresentation
bin10111111000110000…
…11101000100010000
31020002202000001001100
423330120131010100
5202230444003121
65520311104400
7632536634334
oct137430350420
936082001040
1012824203536
115490a23a21
12259a972100
131294b40221
148992877c4
15500cc9026
hex2fc61d110

12824203536 has 45 divisors (see below), whose sum is σ = 35893762021. Its totient is φ = 4274281536.

The previous prime is 12824203519. The next prime is 12824203543. The reversal of 12824203536 is 63530242821.

The square root of 12824203536 is 113244.

It is a perfect power (a square), and thus also a powerful number.

12824203536 is a `hidden beast` number, since 1 + 2 + 82 + 42 + 0 + 3 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7310250000 + 5513953536 = 85500^2 + 74256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12824203536.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1354210 + ... + 1363646.

Almost surely, 212824203536 is an apocalyptic number.

12824203536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12824203536 is the 113244-th square number.

It is an amenable number.

12824203536 is an abundant number, since it is smaller than the sum of its proper divisors (23069558485).

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

12824203536 is an frugal number, since it uses more digits than its factorization.

12824203536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18888 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 12824203536 by its sum of digits (36), we get a square (461671327296 = 6794642).

12824203536 divided by its sum of digits (36) gives a square (356227876 = 188742).

It can be divided in two parts, 1282420 and 3536, that added together give a square (1285956 = 11342).

The spelling of 12824203536 in words is "twelve billion, eight hundred twenty-four million, two hundred three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9437 18874 28311 37748 56622 75496 84933 113244 150992 169866 226488 339732 452976 679464 1358928 89056969 178113938 267170907 356227876 534341814 712455752 801512721 1068683628 1424911504 1603025442 2137367256 3206050884 4274734512 6412101768 12824203536