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80294400000 = 21232551741
BaseRepresentation
bin100101011000111101…
…0110101000000000000
321200020212002010212200
41022301322311000000
52303420331300000
6100515311353200
75541525065433
oct1126172650000
9250225063780
1080294400000
1131064106171
121368a522800
1377581219b9
143c59cd181a
15214e273500
hex12b1eb5000

80294400000 has 936 divisors, whose sum is σ = 314437484088. Its totient is φ = 19660800000.

The previous prime is 80294399989. The next prime is 80294400023. The reversal of 80294400000 is 449208.

It can be written as a sum of positive squares in 12 ways, for example, as 79551074304 + 743325696 = 282048^2 + 27264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1958399980 + ... + 1958400020.

It is an arithmetic number, because the mean of its divisors is an integer number (335937483).

Almost surely, 280294400000 is an apocalyptic number.

80294400000 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 80294400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157218742044).

80294400000 is an abundant number, since it is smaller than the sum of its proper divisors (234143084088).

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

80294400000 is an equidigital number, since it uses as much as digits as its factorization.

80294400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 80294400000 its reverse (449208), we get a palindrome (80294849208).

The spelling of 80294400000 in words is "eighty billion, two hundred ninety-four million, four hundred thousand".