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5176808064 = 27336779283
BaseRepresentation
bin1001101001000111…
…11101001010000000
3111100210002002122000
410310203331022000
541100230324224
62213404544000
7242200066611
oct46443751200
914323062560
105176808064
11221719a57a
121005852000
1364668594c
14371767c08
1520472e0c9
hex1348fd280

5176808064 has 256 divisors, whose sum is σ = 15758592000. Its totient is φ = 1672399872.

The previous prime is 5176808059. The next prime is 5176808101. The reversal of 5176808064 is 4608086715.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18292467 + ... + 18292749.

It is an arithmetic number, because the mean of its divisors is an integer number (61557000).

Almost surely, 25176808064 is an apocalyptic number.

5176808064 is a gapful number since it is divisible by the number (54) 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 5176808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879296000).

5176808064 is an abundant number, since it is smaller than the sum of its proper divisors (10581783936).

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

5176808064 is a wasteful number, since it uses less digits than its factorization.

5176808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5176808064 is about 71950.0386657297. The cubic root of 5176808064 is about 1729.8987616033.

The spelling of 5176808064 in words is "five billion, one hundred seventy-six million, eight hundred eight thousand, sixty-four".