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1166109696 = 2103417827
BaseRepresentation
bin100010110000001…
…0110110000000000
310000021020111210000
41011200112300000
54342011002241
6311413440000
740616524503
oct10540266000
93007214700
101166109696
11549269524
12286640000
1315778984b
14b0c2b13a
156c593eb6
hex45816c00

1166109696 has 220 divisors, whose sum is σ = 3691527048. Its totient is φ = 365395968.

The previous prime is 1166109673. The next prime is 1166109697. The reversal of 1166109696 is 6969016611.

It is not an unprimeable number, because it can be changed into a prime (1166109697) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1409635 + ... + 1410461.

Almost surely, 21166109696 is an apocalyptic number.

1166109696 is a gapful number since it is divisible by the number (16) 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 1166109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845763524).

1166109696 is an abundant number, since it is smaller than the sum of its proper divisors (2525417352).

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

1166109696 is an equidigital number, since it uses as much as digits as its factorization.

1166109696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1166109696 is about 34148.3483641596. The cubic root of 1166109696 is about 1052.5590478473.

The spelling of 1166109696 in words is "one billion, one hundred sixty-six million, one hundred nine thousand, six hundred ninety-six".