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11054213016 = 23372114012131
BaseRepresentation
bin10100100101110000…
…11110011110011000
31001112101110012111220
422102320132132120
5140114334304031
65024522052040
7540635155200
oct122270363630
931471405456
1011054213016
1147628a6940
12218604a020
131072229562
1476c183400
1544a6ec596
hex292e1e798

11054213016 has 192 divisors, whose sum is σ = 35173906560. Its totient is φ = 2862720000.

The previous prime is 11054212999. The next prime is 11054213017. The reversal of 11054213016 is 61031245011.

It is a happy number.

11054213016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11054213017) 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 47 ways as a sum of consecutive naturals, for example, 5186271 + ... + 5188401.

It is an arithmetic number, because the mean of its divisors is an integer number (183197430).

Almost surely, 211054213016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11054213016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17586953280).

11054213016 is an abundant number, since it is smaller than the sum of its proper divisors (24119693544).

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

11054213016 is a wasteful number, since it uses less digits than its factorization.

11054213016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11054213016 its reverse (61031245011), we get a palindrome (72085458027).

The spelling of 11054213016 in words is "eleven billion, fifty-four million, two hundred thirteen thousand, sixteen".