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80059464576 = 27327213791381
BaseRepresentation
bin100101010001111101…
…0100111101110000000
321122122111000012001200
41022203322213232000
52302430210331301
6100440120101200
75532643135500
oct1124372475600
9248574005050
1080059464576
1130a53531763
1213623904800
13771b555160
143c36a17a00
152138817c86
hex12a3ea7b80

80059464576 has 576 divisors, whose sum is σ = 292472107200. Its totient is φ = 20832215040.

The previous prime is 80059464571. The next prime is 80059464619. The reversal of 80059464576 is 67546495008.

80059464576 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 9 + 4 + 64 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80059464571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57971406 + ... + 57972786.

It is an arithmetic number, because the mean of its divisors is an integer number (507764075).

Almost surely, 280059464576 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 80059464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146236053600).

80059464576 is an abundant number, since it is smaller than the sum of its proper divisors (212412642624).

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

80059464576 is a wasteful number, since it uses less digits than its factorization.

80059464576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 80059464576 in words is "eighty billion, fifty-nine million, four hundred sixty-four thousand, five hundred seventy-six".