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80672224320 = 26335174353241
BaseRepresentation
bin100101100100001110…
…0000111010001000000
321201020012000121102000
41023020130013101000
52310204042134240
6101021005424000
75554063410162
oct1131034072100
9251205017360
1080672224320
1131238405176
1213774b6b000
1377b849a79c
143c94162932
152172506430
hex12c8707440

80672224320 has 896 divisors, whose sum is σ = 315463610880. Its totient is φ = 19322634240.

The previous prime is 80672224313. The next prime is 80672224379. The reversal of 80672224320 is 2342227608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 334739400 + ... + 334739640.

Almost surely, 280672224320 is an apocalyptic number.

80672224320 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 80672224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157731805440).

80672224320 is an abundant number, since it is smaller than the sum of its proper divisors (234791386560).

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

80672224320 is a wasteful number, since it uses less digits than its factorization.

80672224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 80672224320 in words is "eighty billion, six hundred seventy-two million, two hundred twenty-four thousand, three hundred twenty".