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80881728000 = 2935331107127
BaseRepresentation
bin100101101010011101…
…1010011101000000000
321201202210020111102120
41023110323103220000
52311121210244000
6101053452044240
75562216226113
oct1132473235000
9251683214376
1080881728000
1131335699407
1213813163680
13781ca01768
143cb3cda57a
152185adb6a0
hex12d4ed3a00

80881728000 has 640 divisors, whose sum is σ = 282386497536. Its totient is φ = 20514816000.

The previous prime is 80881727989. The next prime is 80881728043. The reversal of 80881728000 is 82718808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636863937 + ... + 636864063.

Almost surely, 280881728000 is an apocalyptic number.

80881728000 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 80881728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141193248768).

80881728000 is an abundant number, since it is smaller than the sum of its proper divisors (201504769536).

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

80881728000 is a wasteful number, since it uses less digits than its factorization.

80881728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 80881728000 in words is "eighty billion, eight hundred eighty-one million, seven hundred twenty-eight thousand".