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1066056012 = 2233711312479
BaseRepresentation
bin111111100010101…
…011100101001100
32202021222020221000
4333202223211030
54140402243022
6253441140300
735263220010
oct7742534514
92667866830
101066056012
114a784072a
1225902a690
1313cb27798
14a1824540
15638cd6ac
hex3f8ab94c

1066056012 has 96 divisors (see below), whose sum is σ = 3186892800. Its totient is φ = 301867776.

The previous prime is 1066055999. The next prime is 1066056041. The reversal of 1066056012 is 2106506601.

It is a happy number.

It is a super-2 number, since 2×10660560122 = 2272950841442688288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 79189 + ... + 91667.

It is an arithmetic number, because the mean of its divisors is an integer number (33196800).

Almost surely, 21066056012 is an apocalyptic number.

1066056012 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 1066056012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593446400).

1066056012 is an abundant number, since it is smaller than the sum of its proper divisors (2120836788).

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

1066056012 is a wasteful number, since it uses less digits than its factorization.

1066056012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12612 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1066056012 is about 32650.5131965793. The cubic root of 1066056012 is about 1021.5508932922.

The spelling of 1066056012 in words is "one billion, sixty-six million, fifty-six thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 452 678 756 791 1017 1356 1582 2034 2373 3051 3164 4068 4746 6102 7119 9492 12204 12479 14238 21357 24958 28476 37437 42714 49916 74874 85428 87353 112311 149748 174706 224622 262059 336933 349412 449244 524118 673866 786177 1048236 1347732 1410127 1572354 2358531 2820254 3144708 4230381 4717062 5640508 8460762 9434124 9870889 12691143 16921524 19741778 25382286 29612667 38073429 39483556 50764572 59225334 76146858 88838001 118450668 152293716 177676002 266514003 355352004 533028006 1066056012