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11330542549368 = 233272171574392741
BaseRepresentation
bin1010010011100001100011…
…1101101011100101111000
31111010012002222202222020200
42210320120331223211320
52441114422343034433
640033102425322200
72246414256405300
oct244703075534570
944105088688220
1011330542549368
11367928a978649
12132bb27936360
13642608b49b83
142b2588bd2600
15149b00412613
hexa4e18f6b978

11330542549368 has 576 divisors, whose sum is σ = 38138111668800. Its totient is φ = 3019463516160.

The previous prime is 11330542549327. The next prime is 11330542549369. The reversal of 11330542549368 is 86394524503311.

11330542549368 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 542 + 5 + 4 + 93 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330542549369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4133724478 + ... + 4133727218.

It is an arithmetic number, because the mean of its divisors is an integer number (66211999425).

Almost surely, 211330542549368 is an apocalyptic number.

11330542549368 is a gapful number since it is divisible by the number (18) 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 11330542549368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19069055834400).

11330542549368 is an abundant number, since it is smaller than the sum of its proper divisors (26807569119432).

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

11330542549368 is a wasteful number, since it uses less digits than its factorization.

11330542549368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 11330542549368 in words is "eleven trillion, three hundred thirty billion, five hundred forty-two million, five hundred forty-nine thousand, three hundred sixty-eight".