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6729230816 = 257114396221
BaseRepresentation
bin1100100010001011…
…11110100111100000
3122100222020100021222
412101011332213200
5102240140341231
63031422434212
7325520342510
oct62105764740
918328210258
106729230816
112943525790
121379732968
138331a0ca9
1447b9d5840
15295b8127b
hex19117e9e0

6729230816 has 96 divisors (see below), whose sum is σ = 16557488640. Its totient is φ = 2615385600.

The previous prime is 6729230813. The next prime is 6729230843. The reversal of 6729230816 is 6180329276.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6729230813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078586 + ... + 1084806.

It is an arithmetic number, because the mean of its divisors is an integer number (172473840).

Almost surely, 26729230816 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 6729230816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278744320).

6729230816 is an abundant number, since it is smaller than the sum of its proper divisors (9828257824).

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

6729230816 is a wasteful number, since it uses less digits than its factorization.

6729230816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 6729230816 is about 82031.8890188444. The cubic root of 6729230816 is about 1887.9412476929.

The spelling of 6729230816 in words is "six billion, seven hundred twenty-nine million, two hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 439 616 878 1232 1756 2464 3073 3512 4829 6146 6221 7024 9658 12292 12442 14048 19316 24584 24884 33803 38632 43547 49168 49768 67606 68431 77264 87094 98336 99536 135212 136862 154528 174188 199072 270424 273724 348376 479017 540848 547448 696752 958034 1081696 1094896 1393504 1916068 2189792 2731019 3832136 5462038 7664272 10924076 15328544 19117133 21848152 30041209 38234266 43696304 60082418 76468532 87392608 120164836 152937064 210288463 240329672 305874128 420576926 480659344 611748256 841153852 961318688 1682307704 3364615408 6729230816