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18329768420 = 225291131491877
BaseRepresentation
bin10001000100100010…
…100001000111100100
31202022102200201020212
4101010202201013210
5300014410042140
612230502314552
71216141314035
oct210442410744
952272621225
1018329768420
117856749347
123676728a58
131961651b22
14c5c54ca8c
157242e7765
hex4448a11e4

18329768420 has 96 divisors (see below), whose sum is σ = 40463388000. Its totient is φ = 6965633024.

The previous prime is 18329768399. The next prime is 18329768423. The reversal of 18329768420 is 2486792381.

It can be written as a sum of positive squares in 16 ways, for example, as 11813081344 + 6516687076 = 108688^2 + 80726^2 .

It is not an unprimeable number, because it can be changed into a prime (18329768423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9764522 + ... + 9766398.

It is an arithmetic number, because the mean of its divisors is an integer number (421493625).

Almost surely, 218329768420 is an apocalyptic number.

18329768420 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 18329768420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20231694000).

18329768420 is an abundant number, since it is smaller than the sum of its proper divisors (22133619580).

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

18329768420 is a wasteful number, since it uses less digits than its factorization.

18329768420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 18329768420 in words is "eighteen billion, three hundred twenty-nine million, seven hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 113 116 145 149 226 290 298 452 565 580 596 745 1130 1490 1877 2260 2980 3277 3754 4321 6554 7508 8642 9385 13108 16385 16837 17284 18770 21605 32770 33674 37540 43210 54433 65540 67348 84185 86420 108866 168370 212101 217732 272165 279673 336740 424202 488273 544330 559346 848404 976546 1060505 1088660 1118692 1398365 1953092 2121010 2441365 2796730 4242020 4882730 5593460 6150929 8110517 9765460 12301858 16221034 24603716 30754645 31603049 32442068 40552585 61509290 63206098 81105170 123018580 126412196 158015245 162210340 316030490 632060980 916488421 1832976842 3665953684 4582442105 9164884210 18329768420