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1066000044 = 2232337472221
BaseRepresentation
bin111111100010011…
…101111010101100
32202021212102011010
4333202131322230
54140344000134
6253440025220
735262564564
oct7742357254
92667772133
101066000044
114a780267a
12259002210
1313cb08175
14a180bda4
15638bbce9
hex3f89deac

1066000044 has 96 divisors (see below), whose sum is σ = 2723567616. Its totient is φ = 323516160.

The previous prime is 1066000037. The next prime is 1066000049. The reversal of 1066000044 is 4400006601.

It is a super-2 number, since 2×10660000442 = 2272712187616003872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066000049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478854 + ... + 481074.

It is an arithmetic number, because the mean of its divisors is an integer number (28370496).

Almost surely, 21066000044 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 1066000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361783808).

1066000044 is an abundant number, since it is smaller than the sum of its proper divisors (1657567572).

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

1066000044 is a wasteful number, since it uses less digits than its factorization.

1066000044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1066000044 is about 32649.6561084493. The cubic root of 1066000044 is about 1021.5330158197.

Adding to 1066000044 its reverse (4400006601), we get a palindrome (5466006645).

The spelling of 1066000044 in words is "one billion, sixty-six million, forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 37 46 47 69 74 92 94 111 138 141 148 188 222 276 282 444 564 851 1081 1702 1739 2162 2221 2553 3243 3404 3478 4324 4442 5106 5217 6486 6663 6956 8884 10212 10434 12972 13326 20868 26652 39997 51083 79994 82177 102166 104387 119991 153249 159988 164354 204332 208774 239982 246531 306498 313161 328708 417548 479964 493062 612996 626322 986124 1252644 1890071 2400901 3780142 3862319 4801802 5670213 7202703 7560284 7724638 9603604 11340426 11586957 14405406 15449276 22680852 23173914 28810812 46347828 88833337 177666674 266500011 355333348 533000022 1066000044