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11160348012 = 22321153279127
BaseRepresentation
bin10100110010011010…
…10110010101101100
31001210210011102100200
422121031112111230
5140324022114022
65043232553500
7543364251522
oct123115262554
931723142320
1011160348012
1148077a8710
1221b56b2890
13108b20a628
1477c2d0312
15454bb4bac
hex29935656c

11160348012 has 216 divisors, whose sum is σ = 32014295040. Its totient is φ = 3250316160.

The previous prime is 11160348007. The next prime is 11160348013. The reversal of 11160348012 is 21084306111.

It is a happy number.

11160348012 is a `hidden beast` number, since 1 + 1 + 1 + 603 + 48 + 0 + 12 = 666.

11160348012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11160348013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87876693 + ... + 87876819.

Almost surely, 211160348012 is an apocalyptic number.

11160348012 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 11160348012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007147520).

11160348012 is an abundant number, since it is smaller than the sum of its proper divisors (20853947028).

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

11160348012 is a wasteful number, since it uses less digits than its factorization.

11160348012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 275 counting only the distinct ones).

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

The spelling of 11160348012 in words is "eleven billion, one hundred sixty million, three hundred forty-eight thousand, twelve".