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18932553728 = 211116431307
BaseRepresentation
bin10001101000011101…
…111101100000000000
31210212102221101020122
4101220131331200000
5302233213204403
612410354155412
71240111023434
oct215035754000
953772841218
1018932553728
118035a29920
123804582b68
131a294b441a
14cb861c9c4
1575c1b5838
hex46877d800

18932553728 has 96 divisors (see below), whose sum is σ = 41393177280. Its totient is φ = 8585748480.

The previous prime is 18932553697. The next prime is 18932553737. The reversal of 18932553728 is 82735523981.

It is a self number, because there is not a number n which added to its sum of digits gives 18932553728.

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, 14484851 + ... + 14486157.

It is an arithmetic number, because the mean of its divisors is an integer number (431178930).

Almost surely, 218932553728 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 18932553728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20696588640).

18932553728 is an abundant number, since it is smaller than the sum of its proper divisors (22460623552).

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

18932553728 is a wasteful number, since it uses less digits than its factorization.

18932553728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1963 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 53.

The spelling of 18932553728 in words is "eighteen billion, nine hundred thirty-two million, five hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 643 704 1024 1286 1307 1408 2048 2572 2614 2816 5144 5228 5632 7073 10288 10456 11264 14146 14377 20576 20912 22528 28292 28754 41152 41824 56584 57508 82304 83648 113168 115016 164608 167296 226336 230032 329216 334592 452672 460064 658432 669184 840401 905344 920128 1316864 1338368 1680802 1810688 1840256 2676736 3361604 3621376 3680512 6723208 7242752 7361024 9244411 13446416 14485504 14722048 18488822 26892832 29444096 36977644 53785664 73955288 107571328 147910576 215142656 295821152 430285312 591642304 860570624 1183284608 1721141248 2366569216 4733138432 9466276864 18932553728