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18055252224 = 28327836481
BaseRepresentation
bin10000110100001011…
…010100100100000000
31201121022010211211100
4100310023110210000
5243434121032344
612143334414400
71206266053212
oct206413244400
951538124740
1018055252224
1177257a0259
1235ba801400
1319198074c9
14c33cd05b2
1570a16e569
hex4342d4900

18055252224 has 54 divisors (see below), whose sum is σ = 52057749926. Its totient is φ = 6018416640.

The previous prime is 18055252223. The next prime is 18055252253. The reversal of 18055252224 is 42225255081.

18055252224 is a `hidden beast` number, since 1 + 80 + 5 + 52 + 522 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13271040000 + 4784212224 = 115200^2 + 69168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (18055252223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3915937 + ... + 3920544.

Almost surely, 218055252224 is an apocalyptic number.

It is an amenable number.

18055252224 is an abundant number, since it is smaller than the sum of its proper divisors (34002497702).

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

18055252224 is an equidigital number, since it uses as much as digits as its factorization.

18055252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836503 (or 7836486 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 18055252224 in words is "eighteen billion, fifty-five million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7836481 15672962 23509443 31345924 47018886 62691848 70528329 94037772 125383696 141056658 188075544 250767392 282113316 376151088 501534784 564226632 752302176 1003069568 1128453264 1504604352 2006139136 2256906528 3009208704 4513813056 6018417408 9027626112 18055252224