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80235247140 = 223351729432163
BaseRepresentation
bin100101010111001100…
…1001011011000100100
321200002201202212102000
41022232121023120210
52303310210402030
6100505355445300
75540206230216
oct1125631133044
9250081685360
1080235247140
1131033783804
1213672756830
137748ab04c9
143c520d45b6
152148e8b860
hex12ae64b624

80235247140 has 576 divisors, whose sum is σ = 281642054400. Its totient is φ = 18874404864.

The previous prime is 80235247063. The next prime is 80235247163. The reversal of 80235247140 is 4174253208.

It is a happy number.

80235247140 is a `hidden beast` number, since 8 + 0 + 23 + 524 + 71 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80235247095 and 80235247104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 492240699 + ... + 492240861.

It is an arithmetic number, because the mean of its divisors is an integer number (488961900).

Almost surely, 280235247140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80235247140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140821027200).

80235247140 is an abundant number, since it is smaller than the sum of its proper divisors (201406807260).

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

80235247140 is a wasteful number, since it uses less digits than its factorization.

80235247140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 80235247140 in words is "eighty billion, two hundred thirty-five million, two hundred forty-seven thousand, one hundred forty".