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648055513728 = 2733726788009
BaseRepresentation
bin10010110111000110001…
…11100110001010000000
32021221202002210002102000
421123203013212022000
541104204202414403
61213413530424000
764551263656410
oct11334307461200
92257662702360
10648055513728
1122a9254962a7
12a5720592000
134915a8bbb2c
142351a64a640
1511ccdb687a3
hex96e31e6280

648055513728 has 128 divisors (see below), whose sum is σ = 2185901616000. Its totient is φ = 185158711296.

The previous prime is 648055513711. The next prime is 648055513733. The reversal of 648055513728 is 827315550846.

648055513728 is a `hidden beast` number, since 6 + 4 + 8 + 0 + 55 + 513 + 72 + 8 = 666.

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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13369813 + ... + 13418196.

It is an arithmetic number, because the mean of its divisors is an integer number (17077356375).

Almost surely, 2648055513728 is an apocalyptic number.

It is an amenable number.

648055513728 is an abundant number, since it is smaller than the sum of its proper divisors (1537846102272).

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

648055513728 is a wasteful number, since it uses less digits than its factorization.

648055513728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26788039 (or 26788021 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 648055513728 in words is "six hundred forty-eight billion, fifty-five million, five hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 26788009 53576018 80364027 107152036 160728054 187516063 214304072 241092081 321456108 375032126 428608144 482184162 562548189 642912216 723276243 750064252 857216288 964368324 1125096378 1285824432 1446552486 1500128504 1687644567 1714432576 1928736648 2250192756 2571648864 2893104972 3000257008 3375289134 3428865152 3857473296 4500385512 5062933701 5143297728 5786209944 6000514016 6750578268 7714946592 9000771024 10125867402 10286595456 11572419888 12001028032 13501156536 15429893184 18001542048 20251734804 23144839776 24002056064 27002313072 30859786368 36003084096 40503469608 46289679552 54004626144 72006168192 81006939216 92579359104 108009252288 162013878432 216018504576 324027756864 648055513728