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8640243144384 = 263237027278437
BaseRepresentation
bin111110110111011011010…
…0111111001011011000000
31010120222222101211000020120
41331232312213321123000
52113030204221110014
630213134540340240
71551144164644635
oct175566647713300
933528871730216
108640243144384
112831341005845
12b76653b44680
134a8a04ab6027
1421c29350418c
15eeb44ce7ba9
hex7dbb69f96c0

8640243144384 has 112 divisors (see below), whose sum is σ = 23858064722688. Its totient is φ = 2754458201088.

The previous prime is 8640243144331. The next prime is 8640243144391. The reversal of 8640243144384 is 4834413420468.

It is a super-2 number, since 2×86402431443842 (a number of 27 digits) contains 22 as substring.

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, 30892014 + ... + 31170450.

It is an arithmetic number, because the mean of its divisors is an integer number (213018435024).

Almost surely, 28640243144384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8640243144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929032361344).

8640243144384 is an abundant number, since it is smaller than the sum of its proper divisors (15217821578304).

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

8640243144384 is a wasteful number, since it uses less digits than its factorization.

8640243144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285502 (or 285492 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 51.

The spelling of 8640243144384 in words is "eight trillion, six hundred forty billion, two hundred forty-three million, one hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 7027 14054 21081 28108 42162 56216 84324 112432 161621 168648 224864 278437 323242 337296 449728 484863 556874 646484 674592 835311 969726 1113748 1292968 1349184 1670622 1939452 2227496 2585936 3341244 3878904 4454992 5171872 6404051 6682488 7757808 8909984 10343744 12808102 13364976 15515616 17819968 19212153 25616204 26729952 31031232 38424306 51232408 53459904 76848612 102464816 153697224 204929632 307394448 409859264 614788896 1229577792 1956576799 3913153598 5869730397 7826307196 11739460794 15652614392 23478921588 31305228784 45001266377 46957843176 62610457568 90002532754 93915686352 125220915136 135003799131 180005065508 187831372704 270007598262 360010131016 375662745408 540015196524 720020262032 1080030393048 1440040524064 2160060786096 2880081048128 4320121572192 8640243144384