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18017010144 = 25347993001
BaseRepresentation
bin10000110001111001…
…011100000111100000
31201111122011221120000
4100301321130013200
5243344323311034
612135451020000
71205323026240
oct206171340740
951448157500
1018017010144
117706150431
1235a9a3a600
131911907b63
14c2cbb7b20
15706b18599
hex431e5c1e0

18017010144 has 120 divisors (see below), whose sum is σ = 60557233968. Its totient is φ = 5147712000.

The previous prime is 18017010131. The next prime is 18017010149. The reversal of 18017010144 is 44101071081.

It is a super-2 number, since 2×180170101442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18017010149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 478357 + ... + 514644.

Almost surely, 218017010144 is an apocalyptic number.

18017010144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18017010144 is an abundant number, since it is smaller than the sum of its proper divisors (42540223824).

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

18017010144 is an equidigital number, since it uses as much as digits as its factorization.

18017010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993030 (or 993013 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 18017010144 in words is "eighteen billion, seventeen million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 993001 1986002 2979003 3972004 5958006 6951007 7944008 8937009 11916012 13902014 15888016 17874018 20853021 23832024 26811027 27804028 31776032 35748036 41706042 47664048 53622054 55608056 62559063 71496072 80433081 83412084 95328096 107244108 111216112 125118126 142992144 160866162 166824168 187677189 214488216 222432224 250236252 285984288 321732324 333648336 375354378 428976432 500472504 563031567 643464648 667296672 750708756 857952864 1000945008 1126063134 1286929296 1501417512 2001890016 2252126268 2573858592 3002835024 4504252536 6005670048 9008505072 18017010144