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8008480081921 = 112107096180389
BaseRepresentation
bin111010010001001111010…
…0111000100100000000001
31001100121021202011012100111
41310202132213010200001
52022202331400110141
625011013413351321
71454410413345154
oct164423647044001
931317252135314
108008480081921
112608417253300
12a9411b938541
13461272737307
141d98809d5c9b
15dd4bb692381
hex7489e9c4801

8008480081921 has 12 divisors (see below), whose sum is σ = 8803532927700. Its totient is φ = 7279755417440.

The previous prime is 8008480081879. The next prime is 8008480081949. The reversal of 8008480081921 is 1291800848008.

It can be written as a sum of positive squares in 2 ways, for example, as 4057485062400 + 3950995019521 = 2014320^2 + 1987711^2 .

It is not a de Polignac number, because 8008480081921 - 221 = 8008477984769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8008480081961) 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 11 ways as a sum of consecutive naturals, for example, 1794406 + ... + 4385983.

It is an arithmetic number, because the mean of its divisors is an integer number (733627743975).

Almost surely, 28008480081921 is an apocalyptic number.

It is an amenable number.

8008480081921 is a deficient number, since it is larger than the sum of its proper divisors (795052845779).

8008480081921 is a wasteful number, since it uses less digits than its factorization.

8008480081921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191120 (or 6191109 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 49.

The spelling of 8008480081921 in words is "eight trillion, eight billion, four hundred eighty million, eighty-one thousand, nine hundred twenty-one".

Divisors: 1 11 121 10709 117799 1295789 6180389 67984279 747827069 66185785801 728043643811 8008480081921