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80473182806016 = 213327411213172
BaseRepresentation
bin10010010011000010011111…
…011110011010000000000000
3101112221011100110210010112200
4102103002133132122000000
541021433034244243031
6443052511514153200
722643665326450000
oct2223023736320000
9345834313703480
1080473182806016
1123706537842900
1290382aa122800
1335b9786146570
1415c2ccc360000
1594845b0968e6
hex49309f79a000

80473182806016 has 3780 divisors, whose sum is σ = 341010651558486. Its totient is φ = 18159312568320.

The previous prime is 80473182805993. The next prime is 80473182806017. The reversal of 80473182806016 is 61060828137408.

80473182806016 is a `hidden beast` number, since 8 + 0 + 4 + 7 + 3 + 1 + 8 + 28 + 0 + 601 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 73779578966016 + 6693603840000 = 8589504^2 + 2587200^2 .

It is not an unprimeable number, because it can be changed into a prime (80473182806017) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 4733716635640 + ... + 4733716635656.

Almost surely, 280473182806016 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 80473182806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170505325779243).

80473182806016 is an abundant number, since it is smaller than the sum of its proper divisors (260537468752470).

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

80473182806016 is a wasteful number, since it uses less digits than its factorization.

80473182806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 80473182806016 in words is "eighty trillion, four hundred seventy-three billion, one hundred eighty-two million, eight hundred six thousand, sixteen".