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18103464192 = 283113757917
BaseRepresentation
bin10000110111000011…
…001111000100000000
31201201122212021012210
4100313003033010000
5244033441323232
612152220022120
71210422622662
oct206703170400
951648767183
1018103464192
11774aa2a660
123612991940
1319267b7ab8
14c3a480532
1570e4e45cc
hex4370cf100

18103464192 has 144 divisors (see below), whose sum is σ = 53983282752. Its totient is φ = 5337538560.

The previous prime is 18103464191. The next prime is 18103464251. The reversal of 18103464192 is 29146430181.

It is a self number, because there is not a number n which added to its sum of digits gives 18103464192.

It is not an unprimeable number, because it can be changed into a prime (18103464191) 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 15 ways as a sum of consecutive naturals, for example, 283618 + ... + 341534.

It is an arithmetic number, because the mean of its divisors is an integer number (374883908).

Almost surely, 218103464192 is an apocalyptic number.

18103464192 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 18103464192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26991641376).

18103464192 is an abundant number, since it is smaller than the sum of its proper divisors (35879818560).

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

18103464192 is a wasteful number, since it uses less digits than its factorization.

18103464192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57984 (or 57970 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 18103464192 in words is "eighteen billion, one hundred three million, four hundred sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 528 592 704 768 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 2816 3256 3552 4224 4736 4884 6512 7104 8448 9472 9768 13024 14208 19536 26048 28416 39072 52096 57917 78144 104192 115834 156288 173751 231668 312576 347502 463336 637087 695004 926672 1274174 1390008 1853344 1911261 2142929 2548348 2780016 3706688 3822522 4285858 5096696 5560032 6428787 7413376 7645044 8571716 10193392 11120064 12857574 14826752 15290088 17143432 20386784 22240128 23572219 25715148 30580176 34286864 40773568 44480256 47144438 51430296 61160352 68573728 70716657 81547136 94288876 102860592 122320704 137147456 141433314 163094272 188577752 205721184 244641408 274294912 282866628 377155504 411442368 489282816 548589824 565733256 754311008 822884736 1131466512 1508622016 1645769472 2262933024 3017244032 4525866048 6034488064 9051732096 18103464192