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6789681216 = 263213678623
BaseRepresentation
bin1100101001011001…
…00101000001000000
3122112011222112122200
412110230211001000
5102401124244331
63041422233200
7330153223653
oct62454450100
918464875580
106789681216
112974663a9a
121395a25800
13842877c66
14485a4d89a
1529b1225e6
hex194b25040

6789681216 has 84 divisors (see below), whose sum is σ = 19477890432. Its totient is φ = 2261309184.

The previous prime is 6789681211. The next prime is 6789681253. The reversal of 6789681216 is 6121869876.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6789681211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 783081 + ... + 791703.

It is an arithmetic number, because the mean of its divisors is an integer number (231879648).

Almost surely, 26789681216 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 6789681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738945216).

6789681216 is an abundant number, since it is smaller than the sum of its proper divisors (12688209216).

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

6789681216 is a wasteful number, since it uses less digits than its factorization.

6789681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 9995 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 6789681216 is about 82399.5219403608. The cubic root of 6789681216 is about 1893.5776895929.

The spelling of 6789681216 in words is "six billion, seven hundred eighty-nine million, six hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1367 2734 4101 5468 8202 8623 10936 12303 16404 17246 21872 24606 25869 32808 34492 43744 49212 51738 65616 68984 77607 87488 98424 103476 131232 137968 155214 196848 206952 262464 275936 310428 393696 413904 551872 620856 787392 827808 1241712 1655616 2483424 4966848 11787641 23575282 35362923 47150564 70725846 94301128 106088769 141451692 188602256 212177538 282903384 377204512 424355076 565806768 754409024 848710152 1131613536 1697420304 2263227072 3394840608 6789681216