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664680192 = 283111941101
BaseRepresentation
bin100111100111100…
…011011100000000
31201022201020210220
4213213203130000
52330124231232
6145542223040
722320455061
oct4747433400
91638636726
10664680192
11311216080
12166724a80
13a7923bb7
14643c2568
153d54742c
hex279e3700

664680192 has 288 divisors, whose sum is σ = 2101559040. Its totient is φ = 184320000.

The previous prime is 664680179. The next prime is 664680221. The reversal of 664680192 is 291086466.

It is a congruent 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, 6580942 + ... + 6581042.

It is an arithmetic number, because the mean of its divisors is an integer number (7297080).

Almost surely, 2664680192 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 664680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050779520).

664680192 is an abundant number, since it is smaller than the sum of its proper divisors (1436878848).

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

664680192 is a wasteful number, since it uses less digits than its factorization.

664680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 664680192 is about 25781.3923596070. The cubic root of 664680192 is about 872.7119287706.

The spelling of 664680192 in words is "six hundred sixty-four million, six hundred eighty thousand, one hundred ninety-two".