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18864054042240 = 273511893184377
BaseRepresentation
bin1000100101000001000010…
…01111010111111010000000
32110210101102100201212220010
410102200201033113322000
54433032040313322430
6104042005441544520
73654611562501441
oct422404117277200
973711370655803
1018864054042240
1160132227a3a40
122147b91645140
13a6ab46319b94
1449304cba72c8
1522aa6d79acb0
hex1128213d7e80

18864054042240 has 128 divisors (see below), whose sum is σ = 65595460720320. Its totient is φ = 4573104005120.

The previous prime is 18864054042233. The next prime is 18864054042259. The reversal of 18864054042240 is 4224045046881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18864054042240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446571069 + ... + 446613308.

Almost surely, 218864054042240 is an apocalyptic number.

18864054042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18864054042240 is an abundant number, since it is smaller than the sum of its proper divisors (46731406678080).

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

18864054042240 is a wasteful number, since it uses less digits than its factorization.

18864054042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893184410 (or 893184398 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 18864054042240 in words is "eighteen trillion, eight hundred sixty-four billion, fifty-four million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 893184377 1786368754 2679553131 3572737508 4465921885 5359106262 7145475016 8931843770 9825028147 10718212524 13397765655 14290950032 17863687540 19650056294 21436425048 26795531310 28581900064 29475084441 35727375080 39300112588 42872850096 49125140735 53591062620 57163800128 58950168882 71454750160 78600225176 85745700192 98250281470 107182125240 114327600256 117900337764 142909500320 147375422205 157200450352 171491400384 196500562940 214364250480 235800675528 285819000640 294750844410 314400900704 342982800768 393001125880 428728500960 471601351056 571638001280 589501688820 628801801408 786002251760 857457001920 943202702112 1179003377640 1257603602816 1572004503520 1714914003840 1886405404224 2358006755280 3144009007040 3772810808448 4716013510560 6288018014080 9432027021120 18864054042240