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5686544456865 = 3254110130516217
BaseRepresentation
bin101001011000000000001…
…1101100101110010100001
3202010121222001122002222200
41102300000131211302201
51221132020340104430
620032210142523413
71124560605234006
oct122600035456241
922117861562880
105686544456865
1118a2717109478
1277a110296569
1332331497175c
14159331a1d8ad
159cdc0391460
hex52c00765ca1

5686544456865 has 48 divisors (see below), whose sum is σ = 10197055277136. Its totient is φ = 2929556736000.

The previous prime is 5686544456807. The next prime is 5686544456939.

5686544456865 is a `hidden beast` number, since 5 + 6 + 8 + 6 + 54 + 4 + 4 + 568 + 6 + 5 = 666.

5686544456865 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 162427538529 + 5524116918336 = 403023^2 + 2350344^2 .

It is not a de Polignac number, because 5686544456865 - 28 = 5686544456609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5686544456793 and 5686544456802.

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 47 ways as a sum of consecutive naturals, for example, 15071764 + ... + 15444453.

It is an arithmetic number, because the mean of its divisors is an integer number (212438651607).

Almost surely, 25686544456865 is an apocalyptic number.

It is an amenable number.

5686544456865 is a deficient number, since it is larger than the sum of its proper divisors (4510510820271).

5686544456865 is a wasteful number, since it uses less digits than its factorization.

5686544456865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30516370 (or 30516367 counting only the distinct ones).

The product of its digits is 3317760000, while the sum is 72.

The spelling of 5686544456865 in words is "five trillion, six hundred eighty-six billion, five hundred forty-four million, four hundred fifty-six thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 15 41 45 101 123 205 303 369 505 615 909 1515 1845 4141 4545 12423 20705 37269 62115 186345 30516217 91548651 152581085 274645953 457743255 1251164897 1373229765 3082137917 3753494691 6255824485 9246413751 11260484073 15410689585 18767473455 27739241253 46232068755 56302420365 126367654597 138696206265 379102963791 631838272985 1137308891373 1895514818955 5686544456865