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18000181836 = 223271331717333
BaseRepresentation
bin10000110000111001…
…001111101001001100
31201110110111222110100
4100300321033221030
5243331021304321
612134050211100
71205030010150
oct206071175114
951413458410
1018000181836
1176a76a703a
1235a4283a90
13190b295290
14c2a877060
157053e2326
hex430e4fa4c

18000181836 has 144 divisors (see below), whose sum is σ = 56180464704. Its totient is φ = 4732051968.

The previous prime is 18000181831. The next prime is 18000181861. The reversal of 18000181836 is 63818100081.

It is a super-2 number, since 2×180001818362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18000181836.

It is not an unprimeable number, because it can be changed into a prime (18000181831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029826 + ... + 1047158.

It is an arithmetic number, because the mean of its divisors is an integer number (390142116).

Almost surely, 218000181836 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 18000181836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28090232352).

18000181836 is an abundant number, since it is smaller than the sum of its proper divisors (38180282868).

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

18000181836 is a wasteful number, since it uses less digits than its factorization.

18000181836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17680 (or 17675 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18000181836 in words is "eighteen billion, one hundred eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 317 364 468 546 634 819 951 1092 1268 1638 1902 2219 2853 3276 3804 4121 4438 5706 6657 8242 8876 11412 12363 13314 16484 17333 19971 24726 26628 28847 34666 37089 39942 49452 51999 57694 69332 74178 79884 86541 103998 115388 121331 148356 155997 173082 207996 225329 242662 259623 311994 346164 363993 450658 485324 519246 623988 675987 727986 901316 1038492 1091979 1351974 1455972 1577303 2027961 2183958 2703948 3154606 4055922 4367916 4731909 5494561 6309212 8111844 9463818 10989122 14195727 16483683 18927636 21978244 28391454 32967366 38461927 49451049 56782908 65934732 71429293 76923854 98902098 115385781 142858586 153847708 197804196 214287879 230771562 285717172 346157343 428575758 461543124 500005051 642863637 692314686 857151516 1000010102 1285727274 1384629372 1500015153 2000020204 2571454548 3000030306 4500045459 6000060612 9000090918 18000181836