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13200244244224 = 28375147270761
BaseRepresentation
bin1100000000010110101111…
…0111100111111100000000
31201201221010201101002212021
43000011223313213330000
53212233100011303344
644024035233411224
72531454233525602
oct300055367477400
951657121332767
1013200244244224
11422a212823224
121592367109b14
13749a157831ab
14338c76725172
1517d57e2a4b84
hexc016bde7f00

13200244244224 has 72 divisors (see below), whose sum is σ = 27066415744368. Its totient is φ = 6420469063680.

The previous prime is 13200244244219. The next prime is 13200244244233. The reversal of 13200244244224 is 42244244200231.

It is a self number, because there is not a number n which added to its sum of digits gives 13200244244224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48617004 + ... + 48887764.

It is an arithmetic number, because the mean of its divisors is an integer number (375922440894).

Almost surely, 213200244244224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200244244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533207872184).

13200244244224 is an abundant number, since it is smaller than the sum of its proper divisors (13866171500144).

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

13200244244224 is an equidigital number, since it uses as much as digits as its factorization.

13200244244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275961 (or 275947 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 13200244244224 its reverse (42244244200231), we get a palindrome (55444488444455).

The spelling of 13200244244224 in words is "thirteen trillion, two hundred billion, two hundred forty-four million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 5147 9472 10294 20588 41176 82352 164704 190439 270761 329408 380878 541522 658816 761756 1083044 1317632 1523512 2166088 3047024 4332176 6094048 8664352 10018157 12188096 17328704 20036314 24376192 34657408 40072628 48752384 69314816 80145256 160290512 320581024 641162048 1282324096 1393606867 2564648192 2787213734 5574427468 11148854936 22297709872 44595419744 51563454079 89190839488 103126908158 178381678976 206253816316 356763357952 412507632632 825015265264 1650030530528 3300061061056 6600122122112 13200244244224