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86382875286067 is a prime number
BaseRepresentation
bin10011101001000010010100…
…100110001001101000110011
3102022212010022002210100020211
4103221002110212021220303
542310244112033123232
6503415424533444551
724123646114635043
oct2351022446115063
9368763262710224
1086382875286067
1125584854113948
1298316b61a0757
133927b40a52509
141748d4c481723
159ec03bbaaa47
hex4e9094989a33

86382875286067 has 2 divisors, whose sum is σ = 86382875286068. Its totient is φ = 86382875286066.

The previous prime is 86382875285929. The next prime is 86382875286089. The reversal of 86382875286067 is 76068257828368.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 86382875286067 - 239 = 85833119472179 is a prime.

It is a super-3 number, since 3×863828752860673 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 86382875285984 and 86382875286002.

It is not a weakly prime, because it can be changed into another prime (86382875286667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43191437643033 + 43191437643034.

It is an arithmetic number, because the mean of its divisors is an integer number (43191437643034).

Almost surely, 286382875286067 is an apocalyptic number.

86382875286067 is a deficient number, since it is larger than the sum of its proper divisors (1).

86382875286067 is an equidigital number, since it uses as much as digits as its factorization.

86382875286067 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2601123840, while the sum is 76.

The spelling of 86382875286067 in words is "eighty-six trillion, three hundred eighty-two billion, eight hundred seventy-five million, two hundred eighty-six thousand, sixty-seven".