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80512704000 = 29355331167
BaseRepresentation
bin100101011111011101…
…1100101111000000000
321200211001212010200000
41022332323211320000
52304342223012000
6100553110400000
75550115456311
oct1127673457000
9250731763600
1080512704000
11311663601a3
121372b660000
137791417471
143c7acba608
1521634e6000
hex12beee5e00

80512704000 has 960 divisors, whose sum is σ = 312292012032. Its totient is φ = 20653056000.

The previous prime is 80512703933. The next prime is 80512704001. The reversal of 80512704000 is 40721508.

80512704000 is a `hidden beast` number, since 80 + 512 + 70 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80512704001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482111917 + ... + 482112083.

Almost surely, 280512704000 is an apocalyptic number.

80512704000 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 80512704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156146006016).

80512704000 is an abundant number, since it is smaller than the sum of its proper divisors (231779308032).

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

80512704000 is an equidigital number, since it uses as much as digits as its factorization.

80512704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 80512704000 in words is "eighty billion, five hundred twelve million, seven hundred four thousand".