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1166110016 = 2618220469
BaseRepresentation
bin100010110000001…
…0110110101000000
310000021020112012212
41011200112311000
54342011010031
6311413441252
740616525441
oct10540266500
93007215185
101166110016
11549269795
12286640228
13157789a36
14b0c2b2c8
156c59412b
hex45816d40

1166110016 has 14 divisors (see below), whose sum is σ = 2313999690. Its totient is φ = 583054976.

The previous prime is 1166110007. The next prime is 1166110027. The reversal of 1166110016 is 6100116611.

It can be written as a sum of positive squares in only one way, i.e., 1029126400 + 136983616 = 32080^2 + 11704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1166109973 and 1166110000.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 9110171 + ... + 9110298.

Almost surely, 21166110016 is an apocalyptic number.

1166110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1166110016 is a deficient number, since it is larger than the sum of its proper divisors (1147889674).

1166110016 is an equidigital number, since it uses as much as digits as its factorization.

1166110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18220481 (or 18220471 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 1166110016 is about 34148.3530495982. The cubic root of 1166110016 is about 1052.5591441272.

Adding to 1166110016 its reverse (6100116611), we get a palindrome (7266226627).

The spelling of 1166110016 in words is "one billion, one hundred sixty-six million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 18220469 36440938 72881876 145763752 291527504 583055008 1166110016