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648166680 = 2332572353211
BaseRepresentation
bin100110101000100…
…011110100011000
31200011122021112100
4212220203310120
52311412313210
6144152243400
722030216530
oct4650436430
91604567470
10648166680
11302967247
121610a0560
13a43916a5
14621244c0
153bd845c0
hex26a23d18

648166680 has 384 divisors, whose sum is σ = 2571678720. Its totient is φ = 138378240.

The previous prime is 648166669. The next prime is 648166709. The reversal of 648166680 is 86661846.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3071775 + ... + 3071985.

It is an arithmetic number, because the mean of its divisors is an integer number (6697080).

Almost surely, 2648166680 is an apocalyptic number.

648166680 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 648166680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285839360).

648166680 is an abundant number, since it is smaller than the sum of its proper divisors (1923512040).

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

648166680 is a wasteful number, since it uses less digits than its factorization.

648166680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 648166680 is about 25459.1178166094. The cubic root of 648166680 is about 865.4239315517.

It can be divided in two parts, 648166 and 680, that added together give a palindrome (648846).

The spelling of 648166680 in words is "six hundred forty-eight million, one hundred sixty-six thousand, six hundred eighty".