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13324413576384 = 2632234992015567
BaseRepresentation
bin1100000111100101010011…
…1100000010010011000000
31202011210122021212201212100
43001321110330002103000
53221301344333421014
644201052345230400
72543441250452421
oct301712474022300
952153567781770
1013324413576384
1142779411082a9
1215b243b192400
137586436992c1
14340c9569d648
151818ea2cd009
hexc1e54f024c0

13324413576384 has 168 divisors, whose sum is σ = 39932433216000. Its totient is φ = 4239847890432.

The previous prime is 13324413576377. The next prime is 13324413576403. The reversal of 13324413576384 is 48367531442331.

13324413576384 is a `hidden beast` number, since 1 + 3 + 3 + 24 + 4 + 13 + 576 + 38 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13324413576384.

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 23 ways as a sum of consecutive naturals, for example, 5602969 + ... + 7618535.

Almost surely, 213324413576384 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 13324413576384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966216608000).

13324413576384 is an abundant number, since it is smaller than the sum of its proper divisors (26608019639616).

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

13324413576384 is a wasteful number, since it uses less digits than its factorization.

13324413576384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016107 (or 2016094 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 13324413576384 in words is "thirteen trillion, three hundred twenty-four billion, four hundred thirteen million, five hundred seventy-six thousand, three hundred eighty-four".