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182009009988 = 223313197658051
BaseRepresentation
bin1010100110000010010…
…1010001011101000100
3122101210112001200212000
42221200211101131010
510440223301304423
6215340324425300
716102232026041
oct2514045213504
9571715050760
10182009009988
117020a383113
122b336548230
1314217c24960
148b4895c1c8
154b03c9a843
hex2a60951744

182009009988 has 96 divisors (see below), whose sum is σ = 510753640320. Its totient is φ = 55718409600.

The previous prime is 182009009981. The next prime is 182009009989. The reversal of 182009009988 is 889900900281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (182009009981) 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, 52438 + ... + 605613.

It is an arithmetic number, because the mean of its divisors is an integer number (5320350420).

Almost surely, 2182009009988 is an apocalyptic number.

182009009988 is a gapful number since it is divisible by the number (18) 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 182009009988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255376820160).

182009009988 is an abundant number, since it is smaller than the sum of its proper divisors (328744630332).

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

182009009988 is a wasteful number, since it uses less digits than its factorization.

182009009988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658274 (or 658266 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 182009009988 in words is "one hundred eighty-two billion, nine million, nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 197 234 351 394 468 591 702 788 1182 1404 1773 2364 2561 3546 5122 5319 7092 7683 10244 10638 15366 21276 23049 30732 46098 69147 92196 138294 276588 658051 1316102 1974153 2632204 3948306 5922459 7896612 8554663 11844918 17109326 17767377 23689836 25663989 34218652 35534754 51327978 71069508 76991967 102655956 129636047 153983934 230975901 259272094 307967868 388908141 461951802 518544188 777816282 923903604 1166724423 1555632564 1685268611 2333448846 3370537222 3500173269 4666897692 5055805833 6741074444 7000346538 10111611666 14000693076 15167417499 20223223332 30334834998 45502252497 60669669996 91004504994 182009009988