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18080683824 = 2437232980677
BaseRepresentation
bin10000110101101100…
…010101011100110000
31201200001222220102110
4100311230111130300
5244012123340244
612150043445320
71210025163630
oct206554253460
951601886373
1018080683824
117739090405
123607226840
131921b6cca8
14c374306c0
1570c4e49b9
hex435b15730

18080683824 has 160 divisors (see below), whose sum is σ = 57623454720. Its totient is φ = 4770855936.

The previous prime is 18080683813. The next prime is 18080683843. The reversal of 18080683824 is 42838608081.

It is a super-2 number, since 2×180806838242 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 183774 + ... + 264450.

It is an arithmetic number, because the mean of its divisors is an integer number (360146592).

Almost surely, 218080683824 is an apocalyptic number.

18080683824 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 18080683824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28811727360).

18080683824 is an abundant number, since it is smaller than the sum of its proper divisors (39542770896).

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

18080683824 is a wasteful number, since it uses less digits than its factorization.

18080683824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80747 (or 80741 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 18080683824 in words is "eighteen billion, eighty million, six hundred eighty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 29 42 46 48 56 58 69 84 87 92 112 116 138 161 168 174 184 203 232 276 322 336 348 368 406 464 483 552 609 644 667 696 812 966 1104 1218 1288 1334 1392 1624 1932 2001 2436 2576 2668 3248 3864 4002 4669 4872 5336 7728 8004 9338 9744 10672 14007 16008 18676 28014 32016 37352 56028 74704 80677 112056 161354 224112 242031 322708 484062 564739 645416 968124 1129478 1290832 1694217 1855571 1936248 2258956 2339633 3388434 3711142 3872496 4517912 4679266 5566713 6776868 7018899 7422284 9035824 9358532 11133426 12988997 13553736 14037798 14844568 16377431 18717064 22266852 25977994 27107472 28075596 29689136 32754862 37434128 38966991 44533704 49132293 51955988 53811559 56151192 65509724 77933982 89067408 98264586 103911976 107623118 112302384 131019448 155867964 161434677 196529172 207823952 215246236 262038896 311735928 322869354 376680913 393058344 430492472 623471856 645738708 753361826 786116688 860984944 1130042739 1291477416 1506723652 2260085478 2582954832 3013447304 4520170956 6026894608 9040341912 18080683824