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6838768208 = 241097389629
BaseRepresentation
bin1100101111001111…
…10101001001010000
3122122121100102100102
412113213311021100
5103001211040313
63050334311532
7331320366506
oct62747651120
918577312312
106838768208
11299a340858
1213aa3585a8
1384caa390c
1448c38a676
152a05bba58
hex1979f5250

6838768208 has 20 divisors (see below), whose sum is σ = 13262225940. Its totient is φ = 3416258304.

The previous prime is 6838768207. The next prime is 6838768213. The reversal of 6838768208 is 8028678386.

It can be written as a sum of positive squares in 2 ways, for example, as 3513169984 + 3325598224 = 59272^2 + 57668^2 .

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6838768207) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 177263 + ... + 212366.

It is an arithmetic number, because the mean of its divisors is an integer number (663111297).

Almost surely, 26838768208 is an apocalyptic number.

It is an amenable number.

6838768208 is a deficient number, since it is larger than the sum of its proper divisors (6423457732).

6838768208 is a wasteful number, since it uses less digits than its factorization.

6838768208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390734 (or 390728 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The square root of 6838768208 is about 82696.8452118943. The cubic root of 6838768208 is about 1898.1300353613.

The spelling of 6838768208 in words is "six billion, eight hundred thirty-eight million, seven hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 1097 2194 4388 8776 17552 389629 779258 1558516 3117032 6234064 427423013 854846026 1709692052 3419384104 6838768208