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1066395264 = 27311259389
BaseRepresentation
bin111111100011111…
…110011010000000
32202022121111021220
4333203332122000
54140444122024
6253452315040
735266132044
oct7743763200
92668544256
101066395264
114a7a52600
12259172a80
1313cc1601c
14a18b2024
1563948e79
hex3f8fe680

1066395264 has 192 divisors, whose sum is σ = 3174444000. Its totient is φ = 316856320.

The previous prime is 1066395247. The next prime is 1066395271. The reversal of 1066395264 is 4625936601.

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

It is a super-2 number, since 2×10663952642 = 2274397718163259392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2741182 + ... + 2741570.

Almost surely, 21066395264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587222000).

1066395264 is an abundant number, since it is smaller than the sum of its proper divisors (2108048736).

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

1066395264 is a wasteful number, since it uses less digits than its factorization.

1066395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 1066395264 is about 32655.7079849756. The cubic root of 1066395264 is about 1021.6592448309.

The spelling of 1066395264 in words is "one billion, sixty-six million, three hundred ninety-five thousand, two hundred sixty-four".