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85328320000 = 29547113463
BaseRepresentation
bin100111101110111110…
…1101101011000000000
322011020200021202221011
41033131331231120000
52344223022220000
6103111014010304
76110341516150
oct1173575553000
9264220252834
1085328320000
1133207680830
1214654346994
13807acc88a1
1441b66a2760
15234617a2ba
hex13ddf6d600

85328320000 has 400 divisors, whose sum is σ = 265690351872. Its totient is φ = 26588160000.

The previous prime is 85328319983. The next prime is 85328320003. The reversal of 85328320000 is 2382358.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85328320003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24638269 + ... + 24641731.

Almost surely, 285328320000 is an apocalyptic number.

85328320000 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 85328320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132845175936).

85328320000 is an abundant number, since it is smaller than the sum of its proper divisors (180362031872).

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

85328320000 is an equidigital number, since it uses as much as digits as its factorization.

85328320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 85328320000 in words is "eighty-five billion, three hundred twenty-eight million, three hundred twenty thousand".