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1666016352 = 2532711135779
BaseRepresentation
bin110001101001101…
…0110010001100000
311022002220101210100
41203103112101200
511403000010402
6433152302400
756166622350
oct14323262140
94262811710
101666016352
11785471820
123a5b41a00
1320720b2c0
1411b39ab60
159b3de71c
hex634d6460

1666016352 has 288 divisors, whose sum is σ = 6362254080. Its totient is φ = 399375360.

The previous prime is 1666016351. The next prime is 1666016377. The reversal of 1666016352 is 2536106661.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×16660163522 = 5551220970262775808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666016351) 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 47 ways as a sum of consecutive naturals, for example, 285399 + ... + 291177.

It is an arithmetic number, because the mean of its divisors is an integer number (22091160).

Almost surely, 21666016352 is an apocalyptic number.

1666016352 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 1666016352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181127040).

1666016352 is an abundant number, since it is smaller than the sum of its proper divisors (4696237728).

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

1666016352 is a wasteful number, since it uses less digits than its factorization.

1666016352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1666016352 is about 40816.8635737730. The cubic root of 1666016352 is about 1185.4768747769.

The spelling of 1666016352 in words is "one billion, six hundred sixty-six million, sixteen thousand, three hundred fifty-two".