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6605116560 = 2432572945191
BaseRepresentation
bin1100010011011001…
…00001010010010000
3122001022200200112200
412021230201102100
5102011402212220
63011230323200
7322452364410
oct61154412220
918038620480
106605116560
11288a463919
121344059500
138135664c3
14469328640
15289d16890
hex189b21490

6605116560 has 240 divisors, whose sum is σ = 26225821440. Its totient is φ = 1457648640.

The previous prime is 6605116541. The next prime is 6605116561. The reversal of 6605116560 is 656115066.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (6605116561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123565 + ... + 168755.

It is an arithmetic number, because the mean of its divisors is an integer number (109274256).

Almost surely, 26605116560 is an apocalyptic number.

6605116560 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 6605116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112910720).

6605116560 is an abundant number, since it is smaller than the sum of its proper divisors (19620704880).

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

6605116560 is a wasteful number, since it uses less digits than its factorization.

6605116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45246 (or 45237 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6605116560 is about 81271.8681955817. The cubic root of 6605116560 is about 1876.2620537935.

The spelling of 6605116560 in words is "six billion, six hundred five million, one hundred sixteen thousand, five hundred sixty".