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18939730392 = 23341126310103
BaseRepresentation
bin10001101000111001…
…010101100111011000
31210212221102222210000
4101220321111213120
5302242032333032
612411212053000
71240226023602
oct215071254730
953787388700
1018939730392
118039a90850
123806a64160
131a2ab27b7b
14cb956a172
1575cb31e7c
hex468e559d8

18939730392 has 160 divisors (see below), whose sum is σ = 58097191680. Its totient is φ = 5716923840.

The previous prime is 18939730391. The next prime is 18939730429. The reversal of 18939730392 is 29303793981.

18939730392 is a `hidden beast` number, since 189 + 3 + 9 + 73 + 0 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18939730391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1869613 + ... + 1879715.

It is an arithmetic number, because the mean of its divisors is an integer number (363107448).

Almost surely, 218939730392 is an apocalyptic number.

18939730392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18939730392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29048595840).

18939730392 is an abundant number, since it is smaller than the sum of its proper divisors (39157461288).

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

18939730392 is a wasteful number, since it uses less digits than its factorization.

18939730392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 18939730392 in words is "eighteen billion, nine hundred thirty-nine million, seven hundred thirty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 263 264 297 324 396 526 594 648 789 792 891 1052 1188 1578 1782 2104 2367 2376 2893 3156 3564 4734 5786 6312 7101 7128 8679 9468 10103 11572 14202 17358 18936 20206 21303 23144 26037 28404 30309 34716 40412 42606 52074 56808 60618 69432 78111 80824 85212 90927 104148 111133 121236 156222 170424 181854 208296 222266 234333 242472 272781 312444 333399 363708 444532 468666 545562 624888 666798 727416 818343 889064 937332 1000197 1091124 1333596 1636686 1874664 2000394 2182248 2657089 2667192 3000591 3273372 4000788 5314178 6001182 6546744 7971267 8001576 9001773 10628356 12002364 15942534 18003546 21256712 23913801 24004728 29227979 31885068 36007092 47827602 58455958 63770136 71741403 72014184 87683937 95655204 116911916 143482806 175367874 191310408 215224209 233823832 263051811 286965612 350735748 430448418 526103622 573931224 701471496 789155433 860896836 1052207244 1578310866 1721793672 2104414488 2367466299 3156621732 4734932598 6313243464 9469865196 18939730392