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18363729720 = 2335725938431
BaseRepresentation
bin10001000110100100…
…000100011100111000
31202101210121010101210
4101012210010130320
5300102103322340
612234114243120
71220033061420
oct210644043470
952353533353
1018363729720
117873934a36
123685b864a0
1319686b2b7b
14c62c6d480
157272a5180
hex446904738

18363729720 has 128 divisors (see below), whose sum is σ = 62993111040. Its totient is φ = 4195307520.

The previous prime is 18363729679. The next prime is 18363729721. The reversal of 18363729720 is 2792736381.

It is a super-2 number, since 2×183637297202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18363729720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18363729721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2173905 + ... + 2182335.

It is an arithmetic number, because the mean of its divisors is an integer number (492133680).

Almost surely, 218363729720 is an apocalyptic number.

18363729720 is a gapful number since it is divisible by the number (10) 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 18363729720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31496555520).

18363729720 is an abundant number, since it is smaller than the sum of its proper divisors (44629381320).

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

18363729720 is a wasteful number, since it uses less digits than its factorization.

18363729720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045 (or 11041 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 18363729720 in words is "eighteen billion, three hundred sixty-three million, seven hundred twenty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2593 5186 7779 8431 10372 12965 15558 16862 18151 20744 25293 25930 31116 33724 36302 38895 42155 50586 51860 54453 59017 62232 67448 72604 77790 84310 90755 101172 103720 108906 118034 126465 145208 155580 168620 177051 181510 202344 217812 236068 252930 272265 295085 311160 337240 354102 363020 435624 472136 505860 544530 590170 708204 726040 885255 1011720 1089060 1180340 1416408 1770510 2178120 2360680 3541020 7082040 21861583 43723166 65584749 87446332 109307915 131169498 153031081 174892664 218615830 262338996 306062162 327923745 437231660 459093243 524677992 612124324 655847490 765155405 874463320 918186486 1224248648 1311694980 1530310810 1836372972 2295466215 2623389960 3060621620 3672745944 4590932430 6121243240 9181864860 18363729720