Search a number
-
+
6800753500 = 225382116567
BaseRepresentation
bin1100101010101101…
…10100001101011100
3122112221211001222021
412111112310031130
5102411443103000
63042455425524
7330346310452
oct62526641534
918487731867
106800753500
11297a936842
1213996852a4
13844c538c8
144872d29d2
1529c0ad11a
hex1955b435c

6800753500 has 48 divisors (see below), whose sum is σ = 14871834432. Its totient is φ = 2716824000.

The previous prime is 6800753471. The next prime is 6800753521. The reversal of 6800753500 is 53570086.

It is a happy number.

It is a super-3 number, since 3×68007535003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402217 + ... + 418783.

It is an arithmetic number, because the mean of its divisors is an integer number (309829884).

Almost surely, 26800753500 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 6800753500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435917216).

6800753500 is an abundant number, since it is smaller than the sum of its proper divisors (8071080932).

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

6800753500 is a wasteful number, since it uses less digits than its factorization.

6800753500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17407 (or 17395 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 6800753500 is about 82466.6811506320. The cubic root of 6800753500 is about 1894.6064489066.

The spelling of 6800753500 in words is "six billion, eight hundred million, seven hundred fifty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 821 1642 3284 4105 8210 16420 16567 20525 33134 41050 66268 82100 82835 102625 165670 205250 331340 410500 414175 828350 1656700 2070875 4141750 8283500 13601507 27203014 54406028 68007535 136015070 272030140 340037675 680075350 1360150700 1700188375 3400376750 6800753500