27706 is a member of OEIS A309439: number of prime parts in the partitions of n into 10 parts, here n=43. This can be confirmed as follows:
INPUT
n=43
P=Partitions(43,length=10)
count=0
for p in P:
for i in range(len(p)):
if is_prime(p[i]):
count+=1
print(count)
OUTPUT
27706
27706 is a katadrome in base 15: 8321.
27706 can be rendered as a digit equation as follows:
-2 + 7 + 7 ^ 0 = 6
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