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18939752208 = 2433135695927
BaseRepresentation
bin10001101000111001…
…011010111100010000
31210212221111002201000
4101220321122330100
5302242034032313
612411212342000
71240226144316
oct215071327420
953787432630
1018939752208
118039aa6183
123806a74900
131a2ab34a90
14cb95740b6
1575cb38673
hex468e5af10

18939752208 has 160 divisors (see below), whose sum is σ = 58658745600. Its totient is φ = 5816392704.

The previous prime is 18939752203. The next prime is 18939752231. The reversal of 18939752208 is 80225793981.

18939752208 is a `hidden beast` number, since 1 + 89 + 39 + 7 + 522 + 0 + 8 = 666.

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 (18939752203) 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, 3192541 + ... + 3198467.

It is an arithmetic number, because the mean of its divisors is an integer number (366617160).

Almost surely, 218939752208 is an apocalyptic number.

18939752208 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 18939752208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29329372800).

18939752208 is an abundant number, since it is smaller than the sum of its proper divisors (39718993392).

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

18939752208 is a wasteful number, since it uses less digits than its factorization.

18939752208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 18939752208 in words is "eighteen billion, nine hundred thirty-nine million, seven hundred fifty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 569 624 702 936 1138 1404 1707 1872 2276 2808 3414 4552 5121 5616 5927 6828 7397 9104 10242 11854 13656 14794 15363 17781 20484 22191 23708 27312 29588 30726 35562 40968 44382 47416 53343 59176 61452 66573 71124 77051 81936 88764 94832 106686 118352 122904 133146 142248 154102 160029 177528 199719 213372 231153 245808 266292 284496 308204 320058 355056 399438 426744 462306 532584 616408 640116 693459 798876 853488 924612 1065168 1232816 1280232 1386918 1597752 1849224 2080377 2560464 2773836 3195504 3372463 3698448 4160754 5547672 6744926 8321508 10117389 11095344 13489852 16643016 20234778 26979704 30352167 33286032 40469556 43842019 53959408 60704334 80939112 87684038 91056501 121408668 131526057 161878224 175368076 182113002 242817336 263052114 350736152 364226004 394578171 485634672 526104228 701472304 728452008 789156342 1052208456 1183734513 1456904016 1578312684 2104416912 2367469026 3156625368 4734938052 6313250736 9469876104 18939752208