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80883360000 = 283454792
BaseRepresentation
bin100101101010100000…
…1100010000100000000
321201202220022102010000
41023111001202010000
52311122120010000
6101053551040000
75562236134122
oct1132501420400
9251686272100
1080883360000
1131336603573
1213813810000
137820153541
143cb4203212
152185d10000
hex12d5062100

80883360000 has 675 divisors, whose sum is σ = 305241159531. Its totient is φ = 21295872000.

The previous prime is 80883359989. The next prime is 80883360007. The reversal of 80883360000 is 6338808.

The square root of 80883360000 is 284400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6341255424 + 74542104576 = 79632^2 + 273024^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is not an unprimeable number, because it can be changed into a prime (80883360007) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 1023839961 + ... + 1023840039.

Almost surely, 280883360000 is an apocalyptic number.

80883360000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80883360000 is the 284400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80883360000

80883360000 is an abundant number, since it is smaller than the sum of its proper divisors (224357799531).

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

80883360000 is an frugal number, since it uses more digits than its factorization.

80883360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 80883360000 by its sum of digits (36), we get a square (2911800960000 = 17064002).

80883360000 divided by its sum of digits (36) gives a square (2246760000 = 474002).

Adding to 80883360000 its reverse (6338808), we get a palindrome (80889698808).

The spelling of 80883360000 in words is "eighty billion, eight hundred eighty-three million, three hundred sixty thousand".