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80482260096 = 273372661719
BaseRepresentation
bin100101011110100011…
…1011101010010000000
321200201221120102111000
41022331013131102000
52304311424310341
6100550102052000
75546265631500
oct1127507352200
9250657512430
1080482260096
1131150157247
121372141a000
137788018414
143c76c33a00
1521609d08b6
hex12bd1dd480

80482260096 has 384 divisors, whose sum is σ = 277118496000. Its totient is φ = 22928209920.

The previous prime is 80482260091. The next prime is 80482260139. The reversal of 80482260096 is 69006228408.

80482260096 is a `hidden beast` number, since 80 + 482 + 2 + 6 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (80482260091) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 111936025 + ... + 111936743.

It is an arithmetic number, because the mean of its divisors is an integer number (721662750).

Almost surely, 280482260096 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 80482260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138559248000).

80482260096 is an abundant number, since it is smaller than the sum of its proper divisors (196636235904).

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

80482260096 is a wasteful number, since it uses less digits than its factorization.

80482260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 80482260096 in words is "eighty billion, four hundred eighty-two million, two hundred sixty thousand, ninety-six".