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6605340672 = 2153729331
BaseRepresentation
bin1100010011011010…
…11000000000000000
3122001100010001222010
412021231120000000
5102011431400142
63011235212520
7322454316660
oct61155300000
918040101863
106605340672
11288a5a7237
121344147140
13813614508
144693861a0
15289d5ce9c
hex189b58000

6605340672 has 256 divisors, whose sum is σ = 20887315200. Its totient is φ = 1816657920.

The previous prime is 6605340647. The next prime is 6605340689. The reversal of 6605340672 is 2760435066.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×66053406723 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6605340672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19955547 + ... + 19955877.

It is an arithmetic number, because the mean of its divisors is an integer number (81591075).

Almost surely, 26605340672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6605340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10443657600).

6605340672 is an abundant number, since it is smaller than the sum of its proper divisors (14281974528).

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

6605340672 is an equidigital number, since it uses as much as digits as its factorization.

6605340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 6605340672 is about 81273.2469635611. The cubic root of 6605340672 is about 1876.2832741148.

The spelling of 6605340672 in words is "six billion, six hundred five million, three hundred forty thousand, six hundred seventy-two".