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80239632480 = 2533572834567
BaseRepresentation
bin100101010111010100…
…1111010000001100000
321200010001000122222000
41022232221322001200
52303312321214410
6100510033444000
75540261423400
oct1125651720140
9250101018860
1080239632480
11310361a9557
1213674110600
137749987597
143c52916800
152149555dc0
hex12aea7a060

80239632480 has 576 divisors, whose sum is σ = 330698350080. Its totient is φ = 18115550208.

The previous prime is 80239632461. The next prime is 80239632509. The reversal of 80239632480 is 8423693208.

80239632480 is a `hidden beast` number, since 8 + 0 + 2 + 3 + 9 + 632 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17567157 + ... + 17571723.

It is an arithmetic number, because the mean of its divisors is an integer number (574129080).

Almost surely, 280239632480 is an apocalyptic number.

80239632480 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 80239632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165349175040).

80239632480 is an abundant number, since it is smaller than the sum of its proper divisors (250458717600).

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

80239632480 is a wasteful number, since it uses less digits than its factorization.

80239632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 80239632480 in words is "eighty billion, two hundred thirty-nine million, six hundred thirty-two thousand, four hundred eighty".