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80816947200 = 2143252111993
BaseRepresentation
bin100101101000100010…
…0001100000000000000
321201121021100021212200
41023101010030000000
52311003114302300
6101043215353200
75560501500603
oct1132104140000
9251537307780
1080816947200
1131302072660
12137b5522800
13780c46c722
143ca947633a
152180092200
hex12d110c000

80816947200 has 540 divisors, whose sum is σ = 315971656728. Its totient is φ = 19582156800.

The previous prime is 80816947171. The next prime is 80816947201. The reversal of 80816947200 is 274961808.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80816947201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40549404 + ... + 40551396.

Almost surely, 280816947200 is an apocalyptic number.

80816947200 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 80816947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157985828364).

80816947200 is an abundant number, since it is smaller than the sum of its proper divisors (235154709528).

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

80816947200 is a wasteful number, since it uses less digits than its factorization.

80816947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 80816947200 in words is "eighty billion, eight hundred sixteen million, nine hundred forty-seven thousand, two hundred".