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1066551112 = 2311210110909
BaseRepresentation
bin111111100100100…
…100011101001000
32202022220102002001
4333210210131020
54141014113422
6253455520344
735300351314
oct7744443510
92668812061
101066551112
114a8049700
122592290b4
1313cc6bc43
14a1912b44
156397a227
hex3f924748

1066551112 has 48 divisors (see below), whose sum is σ = 2220075900. Its totient is φ = 479952000.

The previous prime is 1066551077. The next prime is 1066551121. The reversal of 1066551112 is 2111556601.

It is a happy number.

1066551112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1041611076 + 24940036 = 32274^2 + 4994^2 .

It is a super-2 number, since 2×10665511122 = 2275062549016873088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92314 + ... + 103222.

Almost surely, 21066551112 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 1066551112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110037950).

1066551112 is an abundant number, since it is smaller than the sum of its proper divisors (1153524788).

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

1066551112 is a wasteful number, since it uses less digits than its factorization.

1066551112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11038 (or 11023 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 1066551112 is about 32658.0941268776. The cubic root of 1066551112 is about 1021.7090124294.

The spelling of 1066551112 in words is "one billion, sixty-six million, five hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 8888 10909 12221 21818 24442 43636 48884 87272 97768 119999 239998 479996 959992 1101809 1319989 2203618 2639978 4407236 5279956 8814472 10559912 12119899 24239798 48479596 96959192 133318889 266637778 533275556 1066551112