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6770116080 = 243557134389
BaseRepresentation
bin1100100111000011…
…11100010111110000
3122110211011112100000
412103201330113300
5102331122203310
63035443030000
7326525015520
oct62341742760
918424145300
106770116080
112964610462
12138b36b300
1383b7b7760
144831d9680
1529955a4c0
hex19387c5f0

6770116080 has 960 divisors, whose sum is σ = 30028078080. Its totient is φ = 1379524608.

The previous prime is 6770116063. The next prime is 6770116117. The reversal of 6770116080 is 806110776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 76068676 + ... + 76068764.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

Almost surely, 26770116080 is an apocalyptic number.

6770116080 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 6770116080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014039040).

6770116080 is an abundant number, since it is smaller than the sum of its proper divisors (23257962000).

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

6770116080 is a wasteful number, since it uses less digits than its factorization.

6770116080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 6770116080 is about 82280.7151159979. The cubic root of 6770116080 is about 1891.7570961145.

The spelling of 6770116080 in words is "six billion, seven hundred seventy million, one hundred sixteen thousand, eighty".