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1116446112 = 25334612803
BaseRepresentation
bin100001010001011…
…1001110110100000
32212210210100011000
41002202321312200
54241302233422
6302441152000
736444430635
oct10242716640
92783710130
101116446112
11523228541
12271a8b600
1314a3bb602
14a83c018c
1568033cac
hex428b9da0

1116446112 has 96 divisors (see below), whose sum is σ = 3264528960. Its totient is φ = 371208960.

The previous prime is 1116446081. The next prime is 1116446129. The reversal of 1116446112 is 2116446111.

1116446112 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 44 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396903 + ... + 399705.

It is an arithmetic number, because the mean of its divisors is an integer number (34005510).

Almost surely, 21116446112 is an apocalyptic number.

1116446112 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 1116446112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632264480).

1116446112 is an abundant number, since it is smaller than the sum of its proper divisors (2148082848).

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

1116446112 is a wasteful number, since it uses less digits than its factorization.

1116446112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3269 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1116446112 is about 33413.2625165517. The cubic root of 1116446112 is about 1037.3992313607.

Subtracting 1116446112 from its reverse (2116446111), we obtain a palindrome (999999999).

The spelling of 1116446112 in words is "one billion, one hundred sixteen million, four hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 461 864 922 1383 1844 2766 2803 3688 4149 5532 5606 7376 8298 8409 11064 11212 12447 14752 16596 16818 22128 22424 24894 25227 33192 33636 44256 44848 49788 50454 66384 67272 75681 89696 99576 100908 132768 134544 151362 199152 201816 269088 302724 398304 403632 605448 807264 1210896 1292183 2421792 2584366 3876549 5168732 7753098 10337464 11629647 15506196 20674928 23259294 31012392 34888941 41349856 46518588 62024784 69777882 93037176 124049568 139555764 186074352 279111528 372148704 558223056 1116446112