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80448100992 = 273672931137
BaseRepresentation
bin100101011101100010…
…1001001101010000000
321200122120021222000000
41022323011021222000
52304224203212432
6100542442000000
75545402401330
oct1127305115200
9250576258000
1080448100992
1131132945a86
1213711aa6000
137780c1832c
143c724a10c0
15215c9d457c
hex12bb149a80

80448100992 has 896 divisors, whose sum is σ = 295393305600. Its totient is φ = 21319925760.

The previous prime is 80448100991. The next prime is 80448101003. The reversal of 80448100992 is 29900184408.

80448100992 is a `hidden beast` number, since 80 + 4 + 481 + 0 + 0 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is not an unprimeable number, because it can be changed into a prime (80448100991) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 587212348 + ... + 587212484.

Almost surely, 280448100992 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 80448100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147696652800).

80448100992 is an abundant number, since it is smaller than the sum of its proper divisors (214945204608).

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

80448100992 is a wasteful number, since it uses less digits than its factorization.

80448100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 80448100992 in words is "eighty billion, four hundred forty-eight million, one hundred thousand, nine hundred ninety-two".