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6394114407168 = 283216671664801
BaseRepresentation
bin101110100001011111011…
…1010101111101100000000
3211122021022211022211100100
41131002332322233230000
51314230121242012133
621333225434322400
71226650054462335
oct135027672575400
924567284284310
106394114407168
112045801985844
1287327bb89400
13374c6851b717
1418169644498c
15b14d3ce6e13
hex5d0beeafb00

6394114407168 has 108 divisors (see below), whose sum is σ = 18446878516248. Its totient is φ = 2130091622400.

The previous prime is 6394114407157. The next prime is 6394114407227. The reversal of 6394114407168 is 8617044114936.

It is a happy number.

6394114407168 is a `hidden beast` number, since 6 + 39 + 4 + 1 + 1 + 440 + 7 + 168 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3008368 + ... + 4673168.

It is an arithmetic number, because the mean of its divisors is an integer number (170804430706).

Almost surely, 26394114407168 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 6394114407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223439258124).

6394114407168 is an abundant number, since it is smaller than the sum of its proper divisors (12052764109080).

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

6394114407168 is a wasteful number, since it uses less digits than its factorization.

6394114407168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666490 (or 1666473 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 6394114407168 in words is "six trillion, three hundred ninety-four billion, one hundred fourteen million, four hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1667 2304 3334 5001 6668 10002 13336 15003 20004 26672 30006 40008 53344 60012 80016 106688 120024 160032 213376 240048 320064 426752 480096 640128 960192 1280256 1664801 1920384 3329602 3840768 4994403 6659204 9988806 13318408 14983209 19977612 26636816 29966418 39955224 53273632 59932836 79910448 106547264 119865672 159820896 213094528 239731344 319641792 426189056 479462688 639283584 958925376 1278567168 1917850752 2775223267 3835701504 5550446534 8325669801 11100893068 16651339602 22201786136 24977009403 33302679204 44403572272 49954018806 66605358408 88807144544 99908037612 133210716816 177614289088 199816075224 266421433632 355228578176 399632150448 532842867264 710457156352 799264300896 1065685734528 1598528601792 2131371469056 3197057203584 6394114407168