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86181730417357 is a prime number
BaseRepresentation
bin10011100110000110111111…
…011011010111101011001101
3102022010220002222020022010121
4103212012333123113223031
542244000140441323412
6503143201305104541
724103265422521301
oct2346067733275315
9368126088208117
1086181730417357
1125507515081963
1297ba71b188151
133911b964a2a43
14173d30a301d01
159e6bb7e8b107
hex4e61bf6d7acd

86181730417357 has 2 divisors, whose sum is σ = 86181730417358. Its totient is φ = 86181730417356.

The previous prime is 86181730417271. The next prime is 86181730417513. The reversal of 86181730417357 is 75371403718168.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54532228544836 + 31649501872521 = 7384594^2 + 5625789^2 .

It is a cyclic number.

It is not a de Polignac number, because 86181730417357 - 243 = 77385637395149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86181730417295 and 86181730417304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86181730414357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43090865208678 + 43090865208679.

It is an arithmetic number, because the mean of its divisors is an integer number (43090865208679).

Almost surely, 286181730417357 is an apocalyptic number.

It is an amenable number.

86181730417357 is a deficient number, since it is larger than the sum of its proper divisors (1).

86181730417357 is an equidigital number, since it uses as much as digits as its factorization.

86181730417357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23708160, while the sum is 61.

The spelling of 86181730417357 in words is "eighty-six trillion, one hundred eighty-one billion, seven hundred thirty million, four hundred seventeen thousand, three hundred fifty-seven".