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80419408524 = 22357131575791
BaseRepresentation
bin100101011100101011…
…1101100101010001100
321200120120022020100000
41022321113230222030
52304144332033044
6100535535004300
75544603456660
oct1127127545214
9250516266300
1080419408524
11311187289a4
1213704369690
137777cb0540
143c6c7528a0
15215a217d69
hex12b95eca8c

80419408524 has 288 divisors, whose sum is σ = 261157851136. Its totient is φ = 21070782720.

The previous prime is 80419408523. The next prime is 80419408547. The reversal of 80419408524 is 42580491408.

80419408524 is a `hidden beast` number, since 80 + 4 + 1 + 9 + 40 + 8 + 524 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 80419408524.

It is not an unprimeable number, because it can be changed into a prime (80419408523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13884069 + ... + 13889859.

Almost surely, 280419408524 is an apocalyptic number.

80419408524 is a gapful number since it is divisible by the number (84) 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 80419408524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130578925568).

80419408524 is an abundant number, since it is smaller than the sum of its proper divisors (180738442612).

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

80419408524 is a wasteful number, since it uses less digits than its factorization.

80419408524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 80419408524 in words is "eighty billion, four hundred nineteen million, four hundred eight thousand, five hundred twenty-four".