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6921341568 = 273312371619
BaseRepresentation
bin1100111001000101…
…10100101010000000
3122212100201120201000
412130202310222000
5103133330412233
63102444212000
7333342301251
oct63442645200
918770646630
106921341568
112a31a0a3a9
121411b3a000
13863c253ab
14499322b28
152a797cd13
hex19c8b4a80

6921341568 has 128 divisors (see below), whose sum is σ = 20456712000. Its totient is φ = 2303824896.

The previous prime is 6921341503. The next prime is 6921341617. The reversal of 6921341568 is 8651431296.

6921341568 is a `hidden beast` number, since 69 + 21 + 3 + 4 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4274263 + ... + 4275881.

Almost surely, 26921341568 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 6921341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228356000).

6921341568 is an abundant number, since it is smaller than the sum of its proper divisors (13535370432).

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

6921341568 is a wasteful number, since it uses less digits than its factorization.

6921341568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2861 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 6921341568 is about 83194.6005940289. The cubic root of 6921341568 is about 1905.7390250644.

The spelling of 6921341568 in words is "six billion, nine hundred twenty-one million, three hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1237 1619 1728 2474 3238 3456 3711 4857 4948 6476 7422 9714 9896 11133 12952 14571 14844 19428 19792 22266 25904 29142 29688 33399 38856 39584 43713 44532 51808 58284 59376 66798 77712 79168 87426 89064 103616 116568 118752 133596 155424 158336 174852 178128 207232 233136 237504 267192 310848 349704 356256 466272 475008 534384 621696 699408 712512 932544 1068768 1398816 1425024 1865088 2002703 2137536 2797632 4005406 4275072 5595264 6008109 8010812 12016218 16021624 18024327 24032436 32043248 36048654 48064872 54072981 64086496 72097308 96129744 108145962 128172992 144194616 192259488 216291924 256345984 288389232 384518976 432583848 576778464 769037952 865167696 1153556928 1730335392 2307113856 3460670784 6921341568