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11350285056 = 2837111997
BaseRepresentation
bin10101001001000011…
…11001101100000000
31002022000120020000000
422210201321230000
5141221133110211
65114140000000
7551161555035
oct124441715400
932260506000
1011350285056
1148a4a38180
122249230000
1310bb680506
1479961338c
154666d2656
hex2a4879b00

11350285056 has 576 divisors, whose sum is σ = 39421401600. Its totient is φ = 3224862720.

The previous prime is 11350285049. The next prime is 11350285097. The reversal of 11350285056 is 65058205311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11350285056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117013200 + ... + 117013296.

Almost surely, 211350285056 is an apocalyptic number.

11350285056 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 11350285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710700800).

11350285056 is an abundant number, since it is smaller than the sum of its proper divisors (28071116544).

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

11350285056 is an frugal number, since it uses more digits than its factorization.

11350285056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11350285056 in words is "eleven billion, three hundred fifty million, two hundred eighty-five thousand, fifty-six".