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18017328816 = 24321934918869
BaseRepresentation
bin10000110001111010…
…101001111010110000
31201111122210010200200
4100301322221322300
5243344414010231
612135501515200
71205325524304
oct206172517260
951448703620
1018017328816
1177063488a3
1235a9b72b00
1319119b9c16
14c2cc5bd04
15706b7cbe6
hex431ea9eb0

18017328816 has 120 divisors (see below), whose sum is σ = 53232270000. Its totient is φ = 5673079296.

The previous prime is 18017328803. The next prime is 18017328827. The reversal of 18017328816 is 61882371081.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945430 + ... + 964298.

It is an arithmetic number, because the mean of its divisors is an integer number (443602250).

Almost surely, 218017328816 is an apocalyptic number.

18017328816 is a gapful number since it is divisible by the number (16) 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 18017328816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26616135000).

18017328816 is an abundant number, since it is smaller than the sum of its proper divisors (35214941184).

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

18017328816 is a wasteful number, since it uses less digits than its factorization.

18017328816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19251 (or 19242 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

Adding to 18017328816 its reverse (61882371081), we get a palindrome (79899699897).

The spelling of 18017328816 in words is "eighteen billion, seventeen million, three hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 349 456 684 698 912 1047 1368 1396 2094 2736 2792 3141 4188 5584 6282 6631 8376 12564 13262 16752 18869 19893 25128 26524 37738 39786 50256 53048 56607 59679 75476 79572 106096 113214 119358 150952 159144 169821 226428 238716 301904 318288 339642 358511 452856 477432 679284 717022 905712 954864 1075533 1358568 1434044 2151066 2717136 2868088 3226599 4302132 5736176 6453198 6585281 8604264 12906396 13170562 17208528 19755843 25812792 26341124 39511686 51625584 52682248 59267529 79023372 105364496 118535058 125120339 158046744 237070116 250240678 316093488 375361017 474140232 500481356 750722034 948280464 1000962712 1126083051 1501444068 2001925424 2252166102 3002888136 4504332204 6005776272 9008664408 18017328816