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6806153216 = 2119734261
BaseRepresentation
bin1100101011010110…
…11010100000000000
3122120022222101222202
412111223122200000
5102414333400331
63043211252332
7330443230202
oct62553324000
918508871882
106806153216
112982994715
12139b44a0a8
138460c45c5
14487cda772
1529c7c7ecb
hex195ada800

6806153216 has 48 divisors (see below), whose sum is σ = 13749683220. Its totient is φ = 3367895040.

The previous prime is 6806153177. The next prime is 6806153227. The reversal of 6806153216 is 6123516086.

It can be written as a sum of positive squares in 2 ways, for example, as 6071526400 + 734626816 = 77920^2 + 27104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6806153216.

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 3 ways as a sum of consecutive naturals, for example, 181526 + ... + 215786.

Almost surely, 26806153216 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 6806153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874841610).

6806153216 is an abundant number, since it is smaller than the sum of its proper divisors (6943530004).

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

6806153216 is an equidigital number, since it uses as much as digits as its factorization.

6806153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34380 (or 34360 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 6806153216 is about 82499.4134282178. The cubic root of 6806153216 is about 1895.1077477877.

The spelling of 6806153216 in words is "six billion, eight hundred six million, one hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1552 2048 3104 6208 12416 24832 34261 49664 68522 99328 137044 198656 274088 548176 1096352 2192704 3323317 4385408 6646634 8770816 13293268 17541632 26586536 35083264 53173072 70166528 106346144 212692288 425384576 850769152 1701538304 3403076608 6806153216