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2050811136000 = 21139531137
BaseRepresentation
bin11101110101111101110…
…111101000100000000000
321021001111112222000000000
4131311331313220200000
5232100030122323000
64210044000000000
7301111004014554
oct35657567504000
97231445860000
102050811136000
11720820470370
12291564600000
1311b510385913
147138cc07864
153852db99000
hex1dd7dde8800

2050811136000 has 1920 divisors, whose sum is σ = 8600397886080. Its totient is φ = 483729408000.

The previous prime is 2050811135953. The next prime is 2050811136001. The reversal of 2050811136000 is 6311180502.

2050811136000 is a `hidden beast` number, since 2 + 0 + 50 + 8 + 1 + 1 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×20508111360002 (a number of 25 digits) contains 22 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 (2050811136001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55427327982 + ... + 55427328018.

It is an arithmetic number, because the mean of its divisors is an integer number (4479373899).

Almost surely, 22050811136000 is an apocalyptic number.

2050811136000 is a gapful number since it is divisible by the number (20) 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 2050811136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300198943040).

2050811136000 is an abundant number, since it is smaller than the sum of its proper divisors (6549586750080).

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

2050811136000 is an frugal number, since it uses more digits than its factorization.

2050811136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 2050811136000 in words is "two trillion, fifty billion, eight hundred eleven million, one hundred thirty-six thousand".