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11110497696 = 2532174753911
BaseRepresentation
bin10100101100011110…
…01011110110100000
31001200022100202120200
422112033023312200
5140223241411241
65034252305200
7542220446364
oct122617136640
931608322520
1011110497696
11479164a401
1221a0a72200
131080aa53bc
147758352a4
154506194b6
hex2963cbda0

11110497696 has 288 divisors, whose sum is σ = 34848672768. Its totient is φ = 3343441920.

The previous prime is 11110497659. The next prime is 11110497707. The reversal of 11110497696 is 69679401111.

11110497696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 12195481 + ... + 12196391.

It is an arithmetic number, because the mean of its divisors is an integer number (121002336).

Almost surely, 211110497696 is an apocalyptic number.

11110497696 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 11110497696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424336384).

11110497696 is an abundant number, since it is smaller than the sum of its proper divisors (23738175072).

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

11110497696 is a wasteful number, since it uses less digits than its factorization.

11110497696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11110497696 in words is "eleven billion, one hundred ten million, four hundred ninety-seven thousand, six hundred ninety-six".