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18438999390 = 23257216725037
BaseRepresentation
bin10001001011000011…
…001100110101011110
31202121001020012222100
4101023003030311132
5300230340440030
612245403425530
71221635623500
oct211303146536
952531205870
1018438999390
117902375179
1236a72252a6
13197b178136
14c6cc63d70
1572dbc2360
hex44b0ccd5e

18438999390 has 144 divisors (see below), whose sum is σ = 56104749792. Its totient is φ = 4189223808.

The previous prime is 18438999373. The next prime is 18438999427. The reversal of 18438999390 is 9399983481.

It is a happy number.

18438999390 is a `hidden beast` number, since 1 + 84 + 3 + 89 + 99 + 390 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 723952 + ... + 748988.

It is an arithmetic number, because the mean of its divisors is an integer number (389616318).

Almost surely, 218438999390 is an apocalyptic number.

18438999390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18438999390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28052374896).

18438999390 is an abundant number, since it is smaller than the sum of its proper divisors (37665750402).

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

18438999390 is a wasteful number, since it uses less digits than its factorization.

18438999390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25231 (or 25221 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 18438999390 in words is "eighteen billion, four hundred thirty-eight million, nine hundred ninety-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 167 210 245 294 315 334 441 490 501 630 735 835 882 1002 1169 1470 1503 1670 2205 2338 2505 3006 3507 4410 5010 5845 7014 7515 8183 10521 11690 15030 16366 17535 21042 24549 25037 35070 40915 49098 50074 52605 73647 75111 81830 105210 122745 125185 147294 150222 175259 225333 245490 250370 350518 368235 375555 450666 525777 736470 751110 876295 1051554 1126665 1226813 1577331 1752590 2253330 2453626 2628885 3154662 3680439 4181179 5257770 6134065 7360878 7886655 8362358 11041317 12268130 12543537 15773310 18402195 20905895 22082634 25087074 29268253 36804390 37630611 41811790 55206585 58536506 62717685 75261222 87804759 110413170 125435370 146341265 175609518 188153055 204877771 263414277 292682530 376306110 409755542 439023795 526828554 614633313 878047590 1024388855 1229266626 1317071385 1843899939 2048777710 2634142770 3073166565 3687799878 6146333130 9219499695 18438999390