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6378889216 = 2137173643
BaseRepresentation
bin1011111000011011…
…00010000000000000
3121110120000010222011
411330031202000000
5101030443423331
62532545422304
7314034443440
oct57415420000
917416003864
106378889216
112783797977
1212a033a994
137a872847b
1444727a120
1527502b3b1
hex17c362000

6378889216 has 112 divisors (see below), whose sum is σ = 14686507584. Its totient is φ = 2713780224.

The previous prime is 6378889199. The next prime is 6378889249. The reversal of 6378889216 is 6129888736.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9920191 + ... + 9920833.

It is an arithmetic number, because the mean of its divisors is an integer number (131129532).

Almost surely, 26378889216 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 6378889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343253792).

6378889216 is an abundant number, since it is smaller than the sum of its proper divisors (8307618368).

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

6378889216 is an equidigital number, since it uses as much as digits as its factorization.

6378889216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 825 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 58.

The square root of 6378889216 is about 79867.9486151986. The cubic root of 6378889216 is about 1854.5918768522.

The spelling of 6378889216 in words is "six billion, three hundred seventy-eight million, eight hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 256 346 448 512 643 692 896 1024 1211 1286 1384 1792 2048 2422 2572 2768 3584 4096 4501 4844 5144 5536 7168 8192 9002 9688 10288 11072 14336 18004 19376 20576 22144 28672 36008 38752 41152 44288 57344 72016 77504 82304 88576 111239 144032 155008 164608 177152 222478 288064 310016 329216 354304 444956 576128 620032 658432 708608 778673 889912 1152256 1240064 1316864 1417216 1557346 1779824 2304512 2480128 2633728 3114692 3559648 4609024 4960256 5267456 6229384 7119296 9218048 9920512 12458768 14238592 18436096 24917536 28477184 36872192 49835072 56954368 99670144 113908736 199340288 227817472 398680576 455634944 797361152 911269888 1594722304 3189444608 6378889216