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18147408384 = 29374735911
BaseRepresentation
bin10000111001101010…
…110111101000000000
31201211201112212022110
4100321222313220000
5244131214032014
612200425535320
71211465266110
oct207152675000
951751485273
1018147408384
117772814576
123625644540
131932932991
14c4223d040
157132c4d59
hex439ab7a00

18147408384 has 160 divisors (see below), whose sum is σ = 56429531136. Its totient is φ = 5074513920.

The previous prime is 18147408373. The next prime is 18147408403. The reversal of 18147408384 is 48380474181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487389 + ... + 523299.

Almost surely, 218147408384 is an apocalyptic number.

18147408384 is a gapful number since it is divisible by the number (14) 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 18147408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28214765568).

18147408384 is an abundant number, since it is smaller than the sum of its proper divisors (38282122752).

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

18147408384 is an equidigital number, since it uses as much as digits as its factorization.

18147408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35986 (or 35970 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 18147408384 in words is "eighteen billion, one hundred forty-seven million, four hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 512 564 658 672 752 768 896 987 1128 1316 1344 1504 1536 1792 1974 2256 2632 2688 3008 3584 3948 4512 5264 5376 6016 7896 9024 10528 10752 12032 15792 18048 21056 24064 31584 35911 36096 42112 63168 71822 72192 84224 107733 126336 143644 168448 215466 251377 252672 287288 430932 502754 505344 574576 754131 861864 1005508 1149152 1508262 1687817 1723728 2011016 2298304 3016524 3375634 3447456 4022032 4596608 5063451 6033048 6751268 6894912 8044064 9193216 10126902 11814719 12066096 13502536 13789824 16088128 18386432 20253804 23629438 24132192 27005072 27579648 32176256 35444157 40507608 47258876 48264384 54010144 55159296 64352512 70888314 81015216 94517752 96528768 108020288 128705024 141776628 162030432 189035504 193057536 216040576 283553256 324060864 378071008 386115072 432081152 567106512 648121728 756142016 864162304 1134213024 1296243456 1512284032 2268426048 2592486912 3024568064 4536852096 6049136128 9073704192 18147408384