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27728617656 = 23323169329671
BaseRepresentation
bin11001110100110000…
…010010000010111000
32122120110021201120010
4121310300102002320
5423242011231111
620423252301520
72001066234615
oct316460220270
978513251503
1027728617656
111083a099943
12545a3118a0
1327cb92c98c
1414b090950c
15ac450baa6
hex674c120b8

27728617656 has 64 divisors (see below), whose sum is σ = 72380689920. Its totient is φ = 8835488640.

The previous prime is 27728617607. The next prime is 27728617711. The reversal of 27728617656 is 65671682772.

It is a super-2 number, since 2×277286176562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27728617596 and 27728617605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919701 + ... + 949371.

It is an arithmetic number, because the mean of its divisors is an integer number (1130948280).

Almost surely, 227728617656 is an apocalyptic number.

It is an amenable number.

27728617656 is an abundant number, since it is smaller than the sum of its proper divisors (44652072264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27728617656 is a wasteful number, since it uses less digits than its factorization.

27728617656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31396 (or 31392 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 57.

The spelling of 27728617656 in words is "twenty-seven billion, seven hundred twenty-eight million, six hundred seventeen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1693 3386 5079 6772 10158 13544 20316 29671 38939 40632 59342 77878 89013 116817 118684 155756 178026 233634 237368 311512 356052 467268 682433 712104 934536 1364866 2047299 2729732 4094598 5459464 8189196 16378392 50233003 100466006 150699009 200932012 301398018 401864024 602796036 1155359069 1205592072 2310718138 3466077207 4621436276 6932154414 9242872552 13864308828 27728617656