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8993390491008 = 27337112191011601
BaseRepresentation
bin1000001011011110111111…
…0110000111010110000000
31011211202111211211222112000
42002313233312013112000
52134321430431203013
631043301225504000
71615515412604610
oct202675766072600
934752454758460
108993390491008
112958091525200
121012b90342000
135030c4749121
142313d4d76a40
15108e132e8973
hex82defd87580

8993390491008 has 1536 divisors, whose sum is σ = 35467818624000. Its totient is φ = 2189721600000.

The previous prime is 8993390490991. The next prime is 8993390491021. The reversal of 8993390491008 is 8001940933998.

It is a happy number.

8993390491008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5617357408 + ... + 5617359008.

It is an arithmetic number, because the mean of its divisors is an integer number (23091027750).

Almost surely, 28993390491008 is an apocalyptic number.

8993390491008 is a gapful number since it is divisible by the number (88) 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 8993390491008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733909312000).

8993390491008 is an abundant number, since it is smaller than the sum of its proper divisors (26474428132992).

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

8993390491008 is a wasteful number, since it uses less digits than its factorization.

8993390491008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 8993390491008 in words is "eight trillion, nine hundred ninety-three billion, three hundred ninety million, four hundred ninety-one thousand, eight".