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11066385120 = 2535710730781
BaseRepresentation
bin10100100111001101…
…11010001011100000
31001120020100121111120
422103212322023200
5140130443310440
65030035012240
7541143502320
oct122346721340
931506317446
1011066385120
11476975aa2a
12218a13a080
1310748cb99b
1476da31280
1544b803dd0
hex2939ba2e0

11066385120 has 192 divisors, whose sum is σ = 40212619776. Its totient is φ = 2505738240.

The previous prime is 11066385101. The next prime is 11066385131. The reversal of 11066385120 is 2158366011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344130 + ... + 374910.

It is an arithmetic number, because the mean of its divisors is an integer number (209440728).

Almost surely, 211066385120 is an apocalyptic number.

11066385120 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 11066385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106309888).

11066385120 is an abundant number, since it is smaller than the sum of its proper divisors (29146234656).

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

11066385120 is a wasteful number, since it uses less digits than its factorization.

11066385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30913 (or 30905 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 11066385120 in words is "eleven billion, sixty-six million, three hundred eighty-five thousand, one hundred twenty".