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11694938112 = 2113411131729
BaseRepresentation
bin10101110010001001…
…01001100000000000
31010012001002102010000
422321010221200000
5142422401004422
65212251040000
7562545222324
oct127104514000
933161072100
1011694938112
114a61540110
122324740000
131144bb3a30
147cd2cb984
15486ab1cac
hex2b9129800

11694938112 has 960 divisors, whose sum is σ = 44951306400. Its totient is φ = 2972712960.

The previous prime is 11694938107. The next prime is 11694938119. The reversal of 11694938112 is 21183949611.

11694938112 is a `hidden beast` number, since 11 + 69 + 493 + 81 + 12 = 666.

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 (11694938119) 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 79 ways as a sum of consecutive naturals, for example, 403273714 + ... + 403273742.

Almost surely, 211694938112 is an apocalyptic number.

11694938112 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 11694938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475653200).

11694938112 is an abundant number, since it is smaller than the sum of its proper divisors (33256368288).

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

11694938112 is a wasteful number, since it uses less digits than its factorization.

11694938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 11694938112 in words is "eleven billion, six hundred ninety-four million, nine hundred thirty-eight thousand, one hundred twelve".