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6855076206 = 232111271312081
BaseRepresentation
bin1100110001001100…
…00010100101101110
3122200202000221201100
412120212002211232
5103014344414311
63052120023530
7331606120626
oct63046024556
918622027640
106855076206
1129a856a240
1213b3901ba6
13853293714
144905d3886
152a1c3da56
hex19898296e

6855076206 has 96 divisors (see below), whose sum is σ = 16463056896. Its totient is φ = 2044224000.

The previous prime is 6855076171. The next prime is 6855076271. The reversal of 6855076206 is 6026705586.

6855076206 is a `hidden beast` number, since 6 + 8 + 550 + 76 + 20 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3293086 + ... + 3295166.

It is an arithmetic number, because the mean of its divisors is an integer number (171490176).

Almost surely, 26855076206 is an apocalyptic number.

6855076206 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6855076206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231528448).

6855076206 is an abundant number, since it is smaller than the sum of its proper divisors (9607980690).

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

6855076206 is a wasteful number, since it uses less digits than its factorization.

6855076206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6855076206 is about 82795.3875889231. The cubic root of 6855076206 is about 1899.6376230416.

It can be divided in two parts, 685 and 5076206, that added together give a triangular number (5076891 = T3186).

The spelling of 6855076206 in words is "six billion, eight hundred fifty-five million, seventy-six thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 131 198 254 262 381 393 762 786 1143 1179 1397 1441 2081 2286 2358 2794 2882 4162 4191 4323 6243 8382 8646 12486 12573 12969 16637 18729 22891 25146 25938 33274 37458 45782 49911 68673 99822 137346 149733 183007 206019 264287 272611 299466 366014 412038 528574 545222 549021 792861 817833 1098042 1585722 1635666 1647063 2378583 2453499 2907157 2998721 3294126 4757166 4906998 5814314 5997442 8721471 8996163 17442942 17992326 26164413 26988489 34621597 52328826 53976978 69243194 103864791 207729582 311594373 380837567 623188746 761675134 1142512701 2285025402 3427538103 6855076206