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11055127050000 = 24355511181457
BaseRepresentation
bin1010000011011111100011…
…1010111011011100010000
31110010212012210220222100000
42200313320322323130100
52422111400011100000
635302353311330000
72220464232316605
oct240677072733420
943125183828300
1011055127050000
1135824a9016570
1212a6683820900
13622656447477
142a30dcb9a6ac
15142881200000
hexa0df8ebb710

11055127050000 has 1440 divisors, whose sum is σ = 44087292482688. Its totient is φ = 2659392000000.

The previous prime is 11055127049971. The next prime is 11055127050007. The reversal of 11055127050000 is 5072155011.

11055127050000 is a `hidden beast` number, since 1 + 105 + 51 + 2 + 7 + 0 + 500 + 0 + 0 = 666.

It is a super-3 number, since 3×110551270500003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11055127050007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24190649772 + ... + 24190650228.

Almost surely, 211055127050000 is an apocalyptic number.

11055127050000 is a gapful number since it is divisible by the number (10) 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 11055127050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22043646241344).

11055127050000 is an abundant number, since it is smaller than the sum of its proper divisors (33032165432688).

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

11055127050000 is an equidigital number, since it uses as much as digits as its factorization.

11055127050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The spelling of 11055127050000 in words is "eleven trillion, fifty-five billion, one hundred twenty-seven million, fifty thousand".