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11051126364000 = 253535771596061
BaseRepresentation
bin1010000011010000101001…
…1101100001011101100000
31110010110212222221001212110
42200310022131201131200
52422030201322122000
635300452314555320
72220263133125202
oct240641235413540
943113788831773
1011051126364000
1135808358039a8
1212a5947a38b40
13622169645748
142a2c3d708772
151426e9d91850
hexa0d0a761760

11051126364000 has 192 divisors, whose sum is σ = 36266257040832. Its totient is φ = 2941857792000.

The previous prime is 11051126363999. The next prime is 11051126364007. The reversal of 11051126364000 is 46362115011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11051126364007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6125970 + ... + 7722030.

It is an arithmetic number, because the mean of its divisors is an integer number (188886755421).

Almost surely, 211051126364000 is an apocalyptic number.

11051126364000 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 11051126364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18133128520416).

11051126364000 is an abundant number, since it is smaller than the sum of its proper divisors (25215130676832).

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

11051126364000 is a wasteful number, since it uses less digits than its factorization.

11051126364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596666 (or 1596648 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 11051126364000 its reverse (46362115011), we get a palindrome (11097488479011).

The spelling of 11051126364000 in words is "eleven trillion, fifty-one billion, one hundred twenty-six million, three hundred sixty-four thousand".