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11068634448 = 24371723809
BaseRepresentation
bin10100100111011110…
…11111010101010000
31001120101120220000000
422103233133111100
5140132032300243
65030155130000
7541201561164
oct122357372520
931511526000
1011068634448
11476aa56983
12218aa43900
131075208751
14770058ca4
1544baea5d3
hex293bdf550

11068634448 has 320 divisors, whose sum is σ = 35579865600. Its totient is φ = 3317428224.

The previous prime is 11068634443. The next prime is 11068634449. The reversal of 11068634448 is 84443686011.

11068634448 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 8 + 634 + 4 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11068634441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13681468 + ... + 13682276.

It is an arithmetic number, because the mean of its divisors is an integer number (111187080).

Almost surely, 211068634448 is an apocalyptic number.

11068634448 is a gapful number since it is divisible by the number (18) 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 11068634448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17789932800).

11068634448 is an abundant number, since it is smaller than the sum of its proper divisors (24511231152).

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

11068634448 is an equidigital number, since it uses as much as digits as its factorization.

11068634448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 11068634448 in words is "eleven billion, sixty-eight million, six hundred thirty-four thousand, four hundred forty-eight".