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18982226176 = 287921092
BaseRepresentation
bin10001101011011011…
…011100100100000000
31210222220102000000221
4101223123130210000
5302333422214201
612415330552424
71241253155164
oct215333344400
953886360027
1018982226176
118060a76531
123819138714
131a368866c4
14cc106cca4
157617284a1
hex46b6dc900

18982226176 has 81 divisors (see below), whose sum is σ = 38731301721. Its totient is φ = 9285000192.

The previous prime is 18982226147. The next prime is 18982226213. The reversal of 18982226176 is 67162228981.

The square root of 18982226176 is 137776.

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., 13230520576 + 5751705600 = 115024^2 + 75840^2 .

It is a Duffinian number.

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, 174148810 + ... + 174148918.

Almost surely, 218982226176 is an apocalyptic number.

18982226176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18982226176 is the 137776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18982226176

18982226176 is an abundant number, since it is smaller than the sum of its proper divisors (19749075545).

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

18982226176 is an frugal number, since it uses more digits than its factorization.

18982226176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 190 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 52.

The spelling of 18982226176 in words is "eighteen billion, nine hundred eighty-two million, two hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 79 109 128 158 218 256 316 436 632 872 1264 1744 2528 3488 5056 6241 6976 8611 10112 11881 12482 13952 17222 20224 23762 24964 27904 34444 47524 49928 68888 95048 99856 137776 190096 199712 275552 380192 399424 551104 680269 760384 798848 938599 1102208 1360538 1520768 1597696 1877198 2204416 2721076 3041536 3754396 5442152 7508792 10884304 15017584 21768608 30035168 43537216 60070336 74149321 87074432 120140672 148298642 174148864 240281344 296597284 593194568 1186389136 2372778272 4745556544 9491113088 18982226176