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2306463512745 = 35780167274007
BaseRepresentation
bin100001100100000011111…
…100000011100010101001
322011111101102000100100010
4201210003330003202221
5300242114124401440
64523324045402133
7325431213245040
oct41440374034251
98144342010303
102306463512745
1180a190583957
12313011b69349
131396634aa122
147d8c21b9557
153eee2d31580
hex21903f038a9

2306463512745 has 32 divisors (see below), whose sum is σ = 4217601282048. Its totient is φ = 1054366319808.

The previous prime is 2306463512729. The next prime is 2306463512803. The reversal of 2306463512745 is 5472153646032.

It is a happy number.

It is not a de Polignac number, because 2306463512745 - 24 = 2306463512729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2306463512694 and 2306463512703.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8280532 + ... + 8554538.

It is an arithmetic number, because the mean of its divisors is an integer number (131800040064).

Almost surely, 22306463512745 is an apocalyptic number.

It is an amenable number.

2306463512745 is a deficient number, since it is larger than the sum of its proper divisors (1911137769303).

2306463512745 is a wasteful number, since it uses less digits than its factorization.

2306463512745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354189.

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 2306463512745 in words is "two trillion, three hundred six billion, four hundred sixty-three million, five hundred twelve thousand, seven hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 80167 240501 274007 400835 561169 822021 1202505 1370035 1683507 1918049 2805845 4110105 5754147 8417535 9590245 28770735 21966319169 65898957507 109831595845 153764234183 329494787535 461292702549 768821170915 2306463512745