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8646676766468 = 2213166282245509
BaseRepresentation
bin111110111010011011000…
…0110001101111100000100
31010121121120202210212120222
41331310312012031330010
52113131343223011333
630220121203243512
71551462465560426
oct175646606157404
933547522725528
108646676766468
112834042686294
12b7794a679598
134a94bb965bc0
1421c703b4a816
15eedbea36298
hex7dd3618df04

8646676766468 has 12 divisors (see below), whose sum is σ = 16295660059980. Its totient is φ = 3990773892192.

The previous prime is 8646676766467. The next prime is 8646676766543.

8646676766468 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1141717894144 + 7504958872324 = 1068512^2 + 2739518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8646676766392 and 8646676766401.

It is not an unprimeable number, because it can be changed into a prime (8646676766467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83141122703 + ... + 83141122806.

It is an arithmetic number, because the mean of its divisors is an integer number (1357971671665).

Almost surely, 28646676766468 is an apocalyptic number.

It is an amenable number.

8646676766468 is a deficient number, since it is larger than the sum of its proper divisors (7648983293512).

8646676766468 is a wasteful number, since it uses less digits than its factorization.

8646676766468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166282245526 (or 166282245524 counting only the distinct ones).

The product of its digits is 14046068736, while the sum is 80.

The spelling of 8646676766468 in words is "eight trillion, six hundred forty-six billion, six hundred seventy-six million, seven hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 4 13 26 52 166282245509 332564491018 665128982036 2161669191617 4323338383234 8646676766468