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11124798660216 = 2334294367205483
BaseRepresentation
bin1010000111100011000110…
…1011000001111001111000
31110101112001100100111010000
42201320301223001321320
52424232041424111331
635354354551553000
72225511611245623
oct241706153017170
943345040314100
1011124798660216
1135aa00090351a
1212b808868b760
136290aa833c27
142a662bd2cdba
151445aca950e6
hexa1e31ac1e78

11124798660216 has 320 divisors, whose sum is σ = 33476302569600. Its totient is φ = 3444917236992.

The previous prime is 11124798660203. The next prime is 11124798660223. The reversal of 11124798660216 is 61206689742111.

11124798660216 is a `hidden beast` number, since 1 + 1 + 1 + 24 + 7 + 9 + 8 + 6 + 602 + 1 + 6 = 666.

It is a super-2 number, since 2×111247986602162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54037011 + ... + 54242493.

It is an arithmetic number, because the mean of its divisors is an integer number (104613445530).

Almost surely, 211124798660216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11124798660216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738151284800).

11124798660216 is an abundant number, since it is smaller than the sum of its proper divisors (22351503909384).

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

11124798660216 is a wasteful number, since it uses less digits than its factorization.

11124798660216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205640 (or 205627 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 11124798660216 in words is "eleven trillion, one hundred twenty-four billion, seven hundred ninety-eight million, six hundred sixty thousand, two hundred sixteen".