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18982538352 = 24332910913901
BaseRepresentation
bin10001101011011100…
…101000110001110000
31210222220222212021000
4101223130220301300
5302334012211402
612415341402000
71241255625261
oct215334506160
953886885230
1018982538352
11806116a028
123819269300
131a3696581b
14cc1110968
1576178ac1c
hex46b728c70

18982538352 has 160 divisors (see below), whose sum is σ = 56886984000. Its totient is φ = 6052838400.

The previous prime is 18982538329. The next prime is 18982538417. The reversal of 18982538352 is 25383528981.

18982538352 is a `hidden beast` number, since 18 + 98 + 2 + 538 + 3 + 5 + 2 = 666.

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

It is a congruent number.

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, 1358602 + ... + 1372502.

It is an arithmetic number, because the mean of its divisors is an integer number (355543650).

Almost surely, 218982538352 is an apocalyptic number.

18982538352 is a gapful number since it is divisible by the number (12) 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 18982538352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28443492000).

18982538352 is an abundant number, since it is smaller than the sum of its proper divisors (37904445648).

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

18982538352 is a wasteful number, since it uses less digits than its factorization.

18982538352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14056 (or 14044 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 18982538352 in words is "eighteen billion, nine hundred eighty-two million, five hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 109 116 144 174 216 218 232 261 327 348 432 436 464 522 654 696 783 872 981 1044 1308 1392 1566 1744 1962 2088 2616 2943 3132 3161 3924 4176 5232 5886 6264 6322 7848 9483 11772 12528 12644 13901 15696 18966 23544 25288 27802 28449 37932 41703 47088 50576 55604 56898 75864 83406 85347 111208 113796 125109 151728 166812 170694 222416 227592 250218 333624 341388 375327 403129 455184 500436 667248 682776 750654 806258 1000872 1209387 1365552 1501308 1515209 1612516 2001744 2418774 3002616 3030418 3225032 3628161 4545627 4837548 6005232 6060836 6450064 7256322 9091254 9675096 10884483 12121672 13636881 14512644 18182508 19350192 21768966 24243344 27273762 29025288 36365016 40910643 43537932 43941061 54547524 58050576 72730032 81821286 87075864 87882122 109095048 131823183 163642572 174151728 175764244 218190096 263646366 327285144 351528488 395469549 527292732 654570288 703056976 790939098 1054585464 1186408647 1581878196 2109170928 2372817294 3163756392 4745634588 6327512784 9491269176 18982538352