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16066092672 = 273275337591
BaseRepresentation
bin11101111011001110…
…10001111010000000
31112110200012001220100
432331213101322000
5230400404431142
611214120042400
71106063351220
oct167547217200
945420161810
1016066092672
1168a4988243
123144603400
131690687416
14ac5a58080
156406edb4c
hex3bd9d1e80

16066092672 has 192 divisors, whose sum is σ = 53834751360. Its totient is φ = 4503582720.

The previous prime is 16066092671. The next prime is 16066092701. The reversal of 16066092672 is 27629066061.

16066092672 is a `hidden beast` number, since 16 + 0 + 6 + 609 + 26 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16066092671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408597 + ... + 446187.

It is an arithmetic number, because the mean of its divisors is an integer number (280389330).

Almost surely, 216066092672 is an apocalyptic number.

16066092672 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 16066092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26917375680).

16066092672 is an abundant number, since it is smaller than the sum of its proper divisors (37768658688).

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

16066092672 is a wasteful number, since it uses less digits than its factorization.

16066092672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37671 (or 37656 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16066092672 in words is "sixteen billion, sixty-six million, ninety-two thousand, six hundred seventy-two".