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18585848112 = 243131092631039
BaseRepresentation
bin10001010011110011…
…011000100100110000
31202222021112220112220
4101103303120210300
5301030434114422
612312131121040
71225401050046
oct212363304460
952867486486
1018585848112
117978254857
123728443180
1319a2712880
14c8456c396
1573ba2ce5c
hex453cd8930

18585848112 has 160 divisors (see below), whose sum is σ = 52429977600. Its totient is φ = 5639279616.

The previous prime is 18585848063. The next prime is 18585848117. The reversal of 18585848112 is 21184858581.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18585848117) 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, 17887689 + ... + 17888727.

It is an arithmetic number, because the mean of its divisors is an integer number (327687360).

Almost surely, 218585848112 is an apocalyptic number.

18585848112 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 18585848112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214988800).

18585848112 is an abundant number, since it is smaller than the sum of its proper divisors (33844129488).

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

18585848112 is a wasteful number, since it uses less digits than its factorization.

18585848112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1429 counting only the distinct ones).

The product of its digits is 819200, while the sum is 51.

The spelling of 18585848112 in words is "eighteen billion, five hundred eighty-five million, eight hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 263 312 327 436 526 624 654 789 872 1039 1052 1308 1417 1578 1744 2078 2104 2616 2834 3117 3156 3419 4156 4208 4251 5232 5668 6234 6312 6838 8312 8502 10257 11336 12468 12624 13507 13676 16624 17004 20514 22672 24936 27014 27352 28667 34008 40521 41028 49872 54028 54704 57334 68016 81042 82056 86001 108056 113251 114668 162084 164112 172002 216112 226502 229336 273257 324168 339753 344004 372671 453004 458672 546514 648336 679506 688008 745342 819771 906008 1093028 1118013 1359012 1376016 1472263 1490684 1639542 1812016 2186056 2236026 2718024 2944526 2981368 3279084 3552341 4372112 4416789 4472052 5436048 5889052 5962736 6558168 7104682 8833578 8944104 10657023 11778104 13116336 14209364 17667156 17888208 21314046 23556208 28418728 29785013 35334312 42628092 56837456 59570026 70668624 85256184 89355039 119140052 170512368 178710078 238280104 357420156 387205169 476560208 714840312 774410338 1161615507 1429680624 1548820676 2323231014 3097641352 4646462028 6195282704 9292924056 18585848112