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18263360164 = 22761972
BaseRepresentation
bin10001000000100101…
…001100001010100100
31202010210201211020211
4101000211030022210
5244400410011124
612220131105204
71214404000000
oct210045141244
952123654224
1018263360164
117822210895
123658442204
1319509700ba
14c537c3700
1571d57ae94
hex44094c2a4

18263360164 has 63 divisors (see below), whose sum is σ = 37477886593. Its totient is φ = 7787422608.

The previous prime is 18263360123. The next prime is 18263360179. The reversal of 18263360164 is 46106336281.

The square root of 18263360164 is 135142.

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

It can be written as a sum of positive squares in only one way, i.e., 17894412900 + 368947264 = 133770^2 + 19208^2 .

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 92707314 + ... + 92707510.

Almost surely, 218263360164 is an apocalyptic number.

18263360164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18263360164 is the 135142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18263360164

18263360164 is an abundant number, since it is smaller than the sum of its proper divisors (19214526429).

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

18263360164 is an frugal number, since it uses more digits than its factorization.

18263360164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 18263360164 in words is "eighteen billion, two hundred sixty-three million, three hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 197 343 394 686 788 1372 1379 2401 2758 4802 5516 9604 9653 16807 19306 33614 38612 38809 67228 67571 77618 117649 135142 155236 235298 270284 271663 470596 472997 543326 945994 1086652 1891988 1901641 3310979 3803282 6621958 7606564 13243916 13311487 23176853 26622974 46353706 53245948 92707412 93180409 186360818 372721636 652262863 1304525726 2609051452 4565840041 9131680082 18263360164