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1066718016 = 263271347433
BaseRepresentation
bin111111100101001…
…101001101000000
32202100012220000200
4333211031031000
54141034434031
6253503245200
735301645030
oct7745151500
92670186020
101066718016
114a8153041
122592a9800
1313ccc9bc0
14a19578c0
15639ae8e6
hex3f94d340

1066718016 has 336 divisors, whose sum is σ = 3852086784. Its totient is φ = 274710528.

The previous prime is 1066717999. The next prime is 1066718017. The reversal of 1066718016 is 6108176601.

1066718016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10667180162 = 2275774651317952512, 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 (1066718017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2463336 + ... + 2463768.

It is an arithmetic number, because the mean of its divisors is an integer number (11464544).

Almost surely, 21066718016 is an apocalyptic number.

1066718016 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 1066718016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926043392).

1066718016 is an abundant number, since it is smaller than the sum of its proper divisors (2785368768).

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

1066718016 is a wasteful number, since it uses less digits than its factorization.

1066718016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1066718016 is about 32660.6493505564. The cubic root of 1066718016 is about 1021.7623052110.

The spelling of 1066718016 in words is "one billion, sixty-six million, seven hundred eighteen thousand, sixteen".