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6856502417 = 89233330641
BaseRepresentation
bin1100110001010110…
…11110110010010001
3122200211201102002222
412120223132302101
5103020231034132
63052210350425
7331624210652
oct63053366221
918624642088
106856502417
1129a9353826
1213b428b415
1385367292b
14490885529
152a1e21412
hex198adec91

6856502417 has 8 divisors (see below), whose sum is σ = 6963320520. Its totient is φ = 6750346240.

The previous prime is 6856502413. The next prime is 6856502473. The reversal of 6856502417 is 7142056586.

It is a Cunningham number, because it is equal to 828042+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1316528656 + 5539973761 = 36284^2 + 74431^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6856502417 - 22 = 6856502413 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6856502413) 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 7 ways as a sum of consecutive naturals, for example, 144584 + ... + 186057.

It is an arithmetic number, because the mean of its divisors is an integer number (870415065).

Almost surely, 26856502417 is an apocalyptic number.

It is an amenable number.

6856502417 is a deficient number, since it is larger than the sum of its proper divisors (106818103).

6856502417 is a wasteful number, since it uses less digits than its factorization.

6856502417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330963.

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 6856502417 is about 82804.0000060384. Note that the first 5 decimals coincide. The cubic root of 6856502417 is about 1899.7693549205.

The spelling of 6856502417 in words is "six billion, eight hundred fifty-six million, five hundred two thousand, four hundred seventeen".

Divisors: 1 89 233 20737 330641 29427049 77039353 6856502417