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80528140800 = 2932521936791
BaseRepresentation
bin100101011111111011…
…0011110101000000000
321200212010220101222100
41022333312132220000
52304410201001200
6100554421310400
75550363621462
oct1127766365000
9250763811870
1080528140800
1131174044088
1213734865400
137794690873
143c7cd78132
152164a44d00
hex12bfd9ea00

80528140800 has 360 divisors, whose sum is σ = 303364020960. Its totient is φ = 20343398400.

The previous prime is 80528140787. The next prime is 80528140807. The reversal of 80528140800 is 804182508.

It is a tau number, because it is divible by the number of its divisors (360).

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 (80528140807) 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 35 ways as a sum of consecutive naturals, for example, 2170405 + ... + 2207195.

It is an arithmetic number, because the mean of its divisors is an integer number (842677836).

Almost surely, 280528140800 is an apocalyptic number.

80528140800 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 80528140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151682010480).

80528140800 is an abundant number, since it is smaller than the sum of its proper divisors (222835880160).

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

80528140800 is a wasteful number, since it uses less digits than its factorization.

80528140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36844 (or 36820 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 80528140800 in words is "eighty billion, five hundred twenty-eight million, one hundred forty thousand, eight hundred".