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1116316368 = 24327752197
BaseRepresentation
bin100001010001001…
…1010001011010000
32212210112202011200
41002202122023100
54241234110433
6302434311200
736443350446
oct10242321320
92783482150
101116316368
1152314a012
12271a28500
1314a37453b
14a8388b96
156800a613
hex4289a2d0

1116316368 has 30 divisors (see below), whose sum is σ = 3124135794. Its totient is φ = 372105408.

The previous prime is 1116316363. The next prime is 1116316379. The reversal of 1116316368 is 8636136111.

1116316368 is a `hidden beast` number, since 1 + 1 + 16 + 3 + 1 + 636 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1108090944 + 8225424 = 33288^2 + 2868^2 .

It is a super-3 number, since 3×11163163683 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116316363) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3875955 + ... + 3876242.

Almost surely, 21116316368 is an apocalyptic number.

1116316368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1116316368 is an abundant number, since it is smaller than the sum of its proper divisors (2007819426).

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

1116316368 is a wasteful number, since it uses less digits than its factorization.

1116316368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752211 (or 7752202 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1116316368 is about 33411.3209556282. The cubic root of 1116316368 is about 1037.3590438590.

The spelling of 1116316368 in words is "one billion, one hundred sixteen million, three hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7752197 15504394 23256591 31008788 46513182 62017576 69769773 93026364 124035152 139539546 186052728 279079092 372105456 558158184 1116316368