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6706116480 = 27357317599
BaseRepresentation
bin1100011111011011…
…10011011110000000
3122022100202000101110
412033231303132000
5102213231211410
63025235203320
7325120023000
oct61755633600
918270660343
106706116480
112931478628
121371a46540
1382b46a17b
144788da000
15293b17720
hex18fb73780

6706116480 has 512 divisors, whose sum is σ = 26438400000. Its totient is φ = 1440251904.

The previous prime is 6706116479. The next prime is 6706116503. The reversal of 6706116480 is 846116076.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11195221 + ... + 11195819.

It is an arithmetic number, because the mean of its divisors is an integer number (51637500).

Almost surely, 26706116480 is an apocalyptic number.

6706116480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6706116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200000).

6706116480 is an abundant number, since it is smaller than the sum of its proper divisors (19732283520).

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

6706116480 is a wasteful number, since it uses less digits than its factorization.

6706116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 6706116480 is about 81890.8815436737. The cubic root of 6706116480 is about 1885.7771286941. Note that the first 3 decimals are identical.

The spelling of 6706116480 in words is "six billion, seven hundred six million, one hundred sixteen thousand, four hundred eighty".