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16466706432 = 217351147
BaseRepresentation
bin11110101010111111…
…00000000000000000
31120111121000100200000
433111133200000000
5232210434101212
611321550400000
71122026460321
oct172537400000
946447010600
1016466706432
116a900322a0
123236800000
131725682197
14b22d3c448
156659841dc
hex3d57e0000

16466706432 has 432 divisors, whose sum is σ = 54961949952. Its totient is φ = 4883742720.

The previous prime is 16466706391. The next prime is 16466706491. The reversal of 16466706432 is 23460766461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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 23 ways as a sum of consecutive naturals, for example, 350355433 + ... + 350355479.

It is an arithmetic number, because the mean of its divisors is an integer number (127226736).

Almost surely, 216466706432 is an apocalyptic number.

16466706432 is a gapful number since it is divisible by the number (12) 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 16466706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480974976).

16466706432 is an abundant number, since it is smaller than the sum of its proper divisors (38495243520).

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

16466706432 is an frugal number, since it uses more digits than its factorization.

16466706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 16466706432 in words is "sixteen billion, four hundred sixty-six million, seven hundred six thousand, four hundred thirty-two".