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18492740100 = 22335225492687
BaseRepresentation
bin10001001110010000…
…001101001000000100
31202201210100112101000
4101032100031020010
5300333120140400
612255003333300
71223160461112
oct211620151004
952653315330
1018492740100
11792a74038a
123701221230
131989343083
14c76052ab2
1573378a600
hex44e40d204

18492740100 has 144 divisors (see below), whose sum is σ = 59496192000. Its totient is φ = 4927628160.

The previous prime is 18492740099. The next prime is 18492740153. The reversal of 18492740100 is 104729481.

It is a super-2 number, since 2×184927401002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6880957 + ... + 6883643.

It is an arithmetic number, because the mean of its divisors is an integer number (413168000).

Almost surely, 218492740100 is an apocalyptic number.

18492740100 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 18492740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29748096000).

18492740100 is an abundant number, since it is smaller than the sum of its proper divisors (41003451900).

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

18492740100 is a wasteful number, since it uses less digits than its factorization.

18492740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18492740100 in words is "eighteen billion, four hundred ninety-two million, seven hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2549 2687 2700 5098 5374 7647 8061 10196 10748 12745 13435 15294 16122 22941 24183 25490 26870 30588 32244 38235 40305 45882 48366 50980 53740 63725 67175 68823 72549 76470 80610 91764 96732 114705 120915 127450 134350 137646 145098 152940 161220 191175 201525 229410 241830 254900 268700 275292 290196 344115 362745 382350 403050 458820 483660 573525 604575 688230 725490 764700 806100 1147050 1209150 1376460 1450980 1720575 1813725 2294100 2418300 3441150 3627450 6849163 6882300 7254900 13698326 20547489 27396652 34245815 41094978 61642467 68491630 82189956 102737445 123284934 136983260 171229075 184927401 205474890 246569868 308212335 342458150 369854802 410949780 513687225 616424670 684916300 739709604 924637005 1027374450 1232849340 1541061675 1849274010 2054748900 3082123350 3698548020 4623185025 6164246700 9246370050 18492740100