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9068382086400 = 28365271323153
BaseRepresentation
bin1000001111110110010110…
…1100010110010100000000
31012002221002010202202000000
42003331211230112110000
52142034021303231100
631141542432000000
71624111650625530
oct203754554262400
935087063682000
109068382086400
11298697430381a
12102561a990000
1350a1b606ba00
14234caa8a34c0
1510ad51c50900
hex83f65b16500

9068382086400 has 4536 divisors, whose sum is σ = 43801357533696. Its totient is φ = 1816672665600.

The previous prime is 9068382086389. The next prime is 9068382086411. The reversal of 9068382086400 is 46802838609.

9068382086400 is a `hidden beast` number, since 9 + 0 + 6 + 83 + 82 + 0 + 86 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (9068382086389) and next prime (9068382086411).

It is a tau number, because it is divible by the number of its divisors (4536).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 171101548774 + ... + 171101548826.

It is an arithmetic number, because the mean of its divisors is an integer number (9656383936).

Almost surely, 29068382086400 is an apocalyptic number.

9068382086400 is a gapful number since it is divisible by the number (90) 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 9068382086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21900678766848).

9068382086400 is an abundant number, since it is smaller than the sum of its proper divisors (34732975447296).

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

9068382086400 is a wasteful number, since it uses less digits than its factorization.

9068382086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 9068382086400 in words is "nine trillion, sixty-eight billion, three hundred eighty-two million, eighty-six thousand, four hundred".