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56680408665 = 3357110158549
BaseRepresentation
bin110100110010011010…
…100110011001011001
312102022011012002112000
4310302122212121121
51412040141034130
642012201511213
74044410344566
oct646232463131
9172264162460
1056680408665
1122046681a51
12ab9a1a2509
135463aa876a
142a59a5786d
15171b0d0260
hexd326a6659

56680408665 has 64 divisors (see below), whose sum is σ = 103197888000. Its totient is φ = 29508192000.

The previous prime is 56680408663. The next prime is 56680408699.

It is a happy number.

56680408665 is nontrivially palindromic in base 10.

56680408665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56680408665 - 21 = 56680408663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56680408661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 938811 + ... + 997359.

It is an arithmetic number, because the mean of its divisors is an integer number (1612467000).

Almost surely, 256680408665 is an apocalyptic number.

It is an amenable number.

56680408665 is a deficient number, since it is larger than the sum of its proper divisors (46517479335).

56680408665 is a wasteful number, since it uses less digits than its factorization.

56680408665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58735 (or 58729 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 56680408665 in words is "fifty-six billion, six hundred eighty million, four hundred eight thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 71 101 135 213 303 355 505 639 909 1065 1515 1917 2727 3195 4545 7171 9585 13635 21513 35855 58549 64539 107565 175647 193617 292745 322695 526941 878235 968085 1580823 2634705 4156979 5913449 7904115 12470937 17740347 20784895 29567245 37412811 53221041 62354685 88701735 112238433 159663123 187064055 266105205 419854879 561192165 798315615 1259564637 2099274395 3778693911 6297823185 11336081733 18893469555 56680408665