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1664066176 = 2722757271
BaseRepresentation
bin110001100101111…
…1010001010000000
311021222020022122121
41203023322022000
511402000104201
6433042414024
756144220613
oct14313721200
94258208577
101664066176
1178435a603
123a5361314
132069a7756
1411b01017a
159b1569a1
hex632fa280

1664066176 has 32 divisors (see below), whose sum is σ = 3329794080. Its totient is φ = 828353280.

The previous prime is 1664066111. The next prime is 1664066179. The reversal of 1664066176 is 6716604661.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1664066179) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 421 + ... + 57691.

It is an arithmetic number, because the mean of its divisors is an integer number (104056065).

Almost surely, 21664066176 is an apocalyptic number.

1664066176 is a gapful number since it is divisible by the number (16) 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 1664066176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664897040).

1664066176 is an abundant number, since it is smaller than the sum of its proper divisors (1665727904).

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

1664066176 is an equidigital number, since it uses as much as digits as its factorization.

1664066176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57512 (or 57500 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 1664066176 is about 40792.9672370128. The cubic root of 1664066176 is about 1185.0141359800.

The spelling of 1664066176 in words is "one billion, six hundred sixty-four million, sixty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 227 454 908 1816 3632 7264 14528 29056 57271 114542 229084 458168 916336 1832672 3665344 7330688 13000517 26001034 52002068 104004136 208008272 416016544 832033088 1664066176