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1111684168 = 2372412632
BaseRepresentation
bin100001001000010…
…1111010001001000
32212110211101222201
41002100233101020
54234042343133
6302151125544
736356105500
oct10220572110
92773741881
101111684168
11520575851
122703738b4
13149411caa
14a7900a00
15678e2d7d
hex4242f448

1111684168 has 72 divisors (see below), whose sum is σ = 2493339030. Its totient is φ = 463048320.

The previous prime is 1111684159. The next prime is 1111684177. The reversal of 1111684168 is 8614861111.

It is an interprime number because it is at equal distance from previous prime (1111684159) and next prime (1111684177).

It can be written as a sum of positive squares in only one way, i.e., 1098127044 + 13557124 = 33138^2 + 3682^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4226805 + ... + 4227067.

Almost surely, 21111684168 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 1111684168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246669515).

1111684168 is an abundant number, since it is smaller than the sum of its proper divisors (1381654862).

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

1111684168 is an equidigital number, since it uses as much as digits as its factorization.

1111684168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 313 counting only the distinct ones).

The product of its digits is 9216, while the sum is 37.

The square root of 1111684168 is about 33341.9280786220. The cubic root of 1111684168 is about 1035.9222001474.

The spelling of 1111684168 in words is "one billion, one hundred eleven million, six hundred eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 263 287 328 392 526 574 1052 1148 1841 2009 2104 2296 3682 4018 7364 8036 10783 12887 14728 16072 21566 25774 43132 51548 69169 75481 86264 103096 138338 150962 276676 301924 484183 528367 553352 603848 968366 1056734 1936732 2113468 2835929 3389281 3873464 4226936 5671858 6778562 11343716 13557124 19851503 22687432 27114248 39703006 79406012 138960521 158812024 277921042 555842084 1111684168