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11194194816 = 273471743211
BaseRepresentation
bin10100110110011100…
…11101101110000000
31001220010212000110000
422123032131232000
5140411203213231
65050442240000
7544255041330
oct123316355600
931803760400
1011194194816
114824916282
122204ab6000
13109522b51c
147829c10c0
15457b4d6e6
hex29b39db80

11194194816 has 640 divisors, whose sum is σ = 41445423360. Its totient is φ = 2926264320.

The previous prime is 11194194769. The next prime is 11194194841. The reversal of 11194194816 is 61849149111.

11194194816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111941948162 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 53052951 + ... + 53053161.

It is an arithmetic number, because the mean of its divisors is an integer number (64758474).

Almost surely, 211194194816 is an apocalyptic number.

11194194816 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 11194194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722711680).

11194194816 is an abundant number, since it is smaller than the sum of its proper divisors (30251228544).

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

11194194816 is a wasteful number, since it uses less digits than its factorization.

11194194816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The spelling of 11194194816 in words is "eleven billion, one hundred ninety-four million, one hundred ninety-four thousand, eight hundred sixteen".