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18268231330944 = 273272265405671
BaseRepresentation
bin1000010011101011001110…
…11100000110110010000000
32101200102111110012002020100
410021311213130012302000
54343301314210042234
6102504150513242400
73563556542143620
oct411654734066200
971612443162210
1018268231330944
115903571375261
122070609863400
13a268c0c45b4a
14472289626880
1521a2ea523399
hex109d67706c80

18268231330944 has 96 divisors (see below), whose sum is σ = 60078558421440. Its totient is φ = 5219494663680.

The previous prime is 18268231330933. The next prime is 18268231330991. The reversal of 18268231330944 is 44903313286281.

18268231330944 is a `hidden beast` number, since 1 + 8 + 2 + 68 + 231 + 3 + 309 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×182682313309442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1132694772 + ... + 1132710899.

It is an arithmetic number, because the mean of its divisors is an integer number (625818316890).

Almost surely, 218268231330944 is an apocalyptic number.

18268231330944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18268231330944 is an abundant number, since it is smaller than the sum of its proper divisors (41810327090496).

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

18268231330944 is a wasteful number, since it uses less digits than its factorization.

18268231330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265405698 (or 2265405683 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 18268231330944 in words is "eighteen trillion, two hundred sixty-eight billion, two hundred thirty-one million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 2265405671 4530811342 6796217013 9061622684 13592434026 15857839697 18123245368 20388651039 27184868052 31715679394 36246490736 40777302078 47573519091 54369736104 63431358788 72492981472 81554604156 95147038182 108739472208 126862717576 142720557273 144985962944 163109208312 190294076364 217478944416 253725435152 285441114546 289971925888 326218416624 380588152728 434957888832 507450870304 570882229092 652436833248 761176305456 869915777664 1014901740608 1141764458184 1304873666496 1522352610912 2029803481216 2283528916368 2609747332992 3044705221824 4567057832736 6089410443648 9134115665472 18268231330944