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11081790720 = 2832571113312
BaseRepresentation
bin10100101001000011…
…01011010100000000
31001121022100022000100
422110201223110000
5140143414300340
65031345122400
7541421444520
oct122441532400
931538308010
1011081790720
114777422430
122193329400
131077b63b20
14771ac1680
1544cd48830
hex29486b500

11081790720 has 1296 divisors, whose sum is σ = 53194167936. Its totient is φ = 2057011200.

The previous prime is 11081790691. The next prime is 11081790721. The reversal of 11081790720 is 2709718011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11081790721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 357477105 + ... + 357477135.

Almost surely, 211081790720 is an apocalyptic number.

11081790720 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 11081790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26597083968).

11081790720 is an abundant number, since it is smaller than the sum of its proper divisors (42112377216).

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

11081790720 is a wasteful number, since it uses less digits than its factorization.

11081790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 11081790720 in words is "eleven billion, eighty-one million, seven hundred ninety thousand, seven hundred twenty".