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16384573921056 = 25311152310187587
BaseRepresentation
bin1110111001101101010010…
…1101010101011100100000
32011000100110010110011121020
43232123110231111130200
54121421101410433211
654502545213525440
73310514005300425
oct356332455253440
964010403404536
1016384573921056
1152477279193a0
121a075347a3880
1391b09bc37993
14409036467d4c
151d6301399306
hexee6d4b55720

16384573921056 has 96 divisors (see below), whose sum is σ = 46950273554688. Its totient is φ = 4961761885440.

The previous prime is 16384573921013. The next prime is 16384573921139. The reversal of 16384573921056 is 65012937548361.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 3485506 + ... + 6702081.

It is an arithmetic number, because the mean of its divisors is an integer number (489065349528).

It is a 1-persistent number, because it is pandigital, but 2⋅16384573921056 = 32769147842112 is not.

Almost surely, 216384573921056 is an apocalyptic number.

16384573921056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16384573921056 is an abundant number, since it is smaller than the sum of its proper divisors (30565699633632).

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

16384573921056 is a wasteful number, since it uses less digits than its factorization.

16384573921056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189134 (or 10189126 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 16384573921056 in words is "sixteen trillion, three hundred eighty-four billion, five hundred seventy-three million, nine hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1523 3046 4569 6092 9138 12184 16753 18276 24368 33506 36552 48736 50259 67012 73104 100518 134024 146208 201036 268048 402072 536096 804144 1608288 10187587 20375174 30562761 40750348 61125522 81500696 112063457 122251044 163001392 224126914 244502088 326002784 336190371 448253828 489004176 672380742 896507656 978008352 1344761484 1793015312 2689522968 3586030624 5379045936 10758091872 15515695001 31031390002 46547085003 62062780004 93094170006 124125560008 170672645011 186188340012 248251120016 341345290022 372376680024 496502240032 512017935033 682690580044 744753360048 1024035870066 1365381160088 1489506720096 2048071740132 2730762320176 4096143480264 5461524640352 8192286960528 16384573921056