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9085299328000 = 21053723673947
BaseRepresentation
bin1000010000110101011000…
…0010100000010000000000
31012011112202010112122201201
42010031112002200100000
52142323143111444000
631153421235110544
71625251121044600
oct204152602402000
935145663478651
109085299328000
112993065687825
121028960442454
1350b980b7733c
14235a3359cc00
1510b4e202b96a
hex843560a0400

9085299328000 has 528 divisors, whose sum is σ = 26444920110336. Its totient is φ = 3105685094400.

The previous prime is 9085299327989. The next prime is 9085299328031. The reversal of 9085299328000 is 8239925809.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2301822027 + ... + 2301825973.

Almost surely, 29085299328000 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 9085299328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222460055168).

9085299328000 is an abundant number, since it is smaller than the sum of its proper divisors (17359620782336).

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

9085299328000 is a wasteful number, since it uses less digits than its factorization.

9085299328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 9085299328000 in words is "nine trillion, eighty-five billion, two hundred ninety-nine million, three hundred twenty-eight thousand".