Search a number
-
+
206541808128 = 293244822441
BaseRepresentation
bin1100000001011011011…
…0011110001000000000
3201202010020211222012100
43000112312132020000
511340444200330003
6234514535430400
720631204254625
oct3002666361000
9652106758170
10206541808128
117a6595144a7
1234042525400
131662771a866
149dd4c4a34c
15558c932ba3
hex3016d9e200

206541808128 has 60 divisors (see below), whose sum is σ = 596093656158. Its totient is φ = 68847267840.

The previous prime is 206541808117. The next prime is 206541808129. The reversal of 206541808128 is 821808145602.

206541808128 is a `hidden beast` number, since 2 + 0 + 6 + 541 + 8 + 0 + 81 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 193698572544 + 12843235584 = 440112^2 + 113328^2 .

It is not an unprimeable number, because it can be changed into a prime (206541808129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22406613 + ... + 22415828.

Almost surely, 2206541808128 is an apocalyptic number.

It is an amenable number.

206541808128 is an abundant number, since it is smaller than the sum of its proper divisors (389551848030).

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

206541808128 is an equidigital number, since it uses as much as digits as its factorization.

206541808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44822465 (or 44822446 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 206541808128 in words is "two hundred six billion, five hundred forty-one million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 44822441 89644882 134467323 179289764 268934646 358579528 403401969 537869292 717159056 806803938 1075738584 1434318112 1613607876 2151477168 2868636224 3227215752 4302954336 5737272448 6454431504 8605908672 11474544896 12908863008 17211817344 22949089792 25817726016 34423634688 51635452032 68847269376 103270904064 206541808128