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8132441436000 = 25325371717310973
BaseRepresentation
bin111011001010111101101…
…0010000110111101100000
31001210110020211022110001200
41312111323102012331200
52031220220001423000
625143554135401200
71466356323435630
oct166257322067540
931713224273050
108132441436000
112655a491a6372
12ab4156223200
1346cb6953197b
142018800b26c0
15e18242d7500
hex7657b486f60

8132441436000 has 1152 divisors, whose sum is σ = 35130569999616. Its totient is φ = 1739228774400.

The previous prime is 8132441435971. The next prime is 8132441436011. The reversal of 8132441436000 is 6341442318.

8132441436000 is a `hidden beast` number, since 8 + 1 + 3 + 2 + 4 + 4 + 1 + 43 + 600 + 0 = 666.

It is a super-2 number, since 2×81324414360002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 741126514 + ... + 741137486.

It is an arithmetic number, because the mean of its divisors is an integer number (30495286458).

Almost surely, 28132441436000 is an apocalyptic number.

8132441436000 is a gapful number since it is divisible by the number (80) 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 8132441436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565284999808).

8132441436000 is an abundant number, since it is smaller than the sum of its proper divisors (26998128563616).

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

8132441436000 is a wasteful number, since it uses less digits than its factorization.

8132441436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11201 (or 11180 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 8132441436000 its reverse (6341442318), we get a palindrome (8138782878318).

The spelling of 8132441436000 in words is "eight trillion, one hundred thirty-two billion, four hundred forty-one million, four hundred thirty-six thousand".