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6810422976 = 263872331
BaseRepresentation
bin1100101011110111…
…01100111011000000
3122120122000100000000
412111323230323000
5102421432013401
63043443000000
7330524432400
oct62573547300
918518010000
106810422976
112985340645
1213a0969000
13846c5aba6
144886cc800
1529cd6d186
hex195eecec0

6810422976 has 378 divisors, whose sum is σ = 23651347668. Its totient is φ = 1939956480.

The previous prime is 6810422963. The next prime is 6810422977. The reversal of 6810422976 is 6792240186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (378).

It is a super-2 number, since 2×68104229762 = 92763722224057393152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6810422977) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20575131 + ... + 20575461.

Almost surely, 26810422976 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 6810422976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11825673834).

6810422976 is an abundant number, since it is smaller than the sum of its proper divisors (16840924692).

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

6810422976 is an frugal number, since it uses more digits than its factorization.

6810422976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6810422976 is about 82525.2868883229. The cubic root of 6810422976 is about 1895.5039561168.

The spelling of 6810422976 in words is "six billion, eight hundred ten million, four hundred twenty-two thousand, nine hundred seventy-six".