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11479982320800 = 253652741107641
BaseRepresentation
bin1010011100001110010001…
…0001001010110010100000
31111122110211201001221000000
42213003210101022302200
53001042000433231200
640225455302300000
72263254443454150
oct247034421126240
944573751057000
1011479982320800
1137266a6812784
121354a92a27600
13653733317226
142b98c3dd0760
1514d949c2d300
hexa70e444aca0

11479982320800 has 2016 divisors, whose sum is σ = 49730229811584. Its totient is φ = 2532114432000.

The previous prime is 11479982320753. The next prime is 11479982320837. The reversal of 11479982320800 is 802328997411.

11479982320800 is a `hidden beast` number, since 1 + 1 + 479 + 98 + 2 + 3 + 2 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×114799823208002 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 17909488480 + ... + 17909489120.

It is an arithmetic number, because the mean of its divisors is an integer number (24667772724).

Almost surely, 211479982320800 is an apocalyptic number.

11479982320800 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 11479982320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24865114905792).

11479982320800 is an abundant number, since it is smaller than the sum of its proper divisors (38250247490784).

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

11479982320800 is a wasteful number, since it uses less digits than its factorization.

11479982320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 806 counting only the distinct ones).

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

The spelling of 11479982320800 in words is "eleven trillion, four hundred seventy-nine billion, nine hundred eighty-two million, three hundred twenty thousand, eight hundred".