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86938493641 is a prime number
BaseRepresentation
bin101000011110111110…
…0000010001011001001
322022101220010001220221
41100331330002023021
52411022223244031
6103534453350041
76165263001016
oct1207574021311
9268356101827
1086938493641
113396357104a
1214a23638321
13827678425c
1442ca48470d
1523dc6d8a11
hex143df022c9

86938493641 has 2 divisors, whose sum is σ = 86938493642. Its totient is φ = 86938493640.

The previous prime is 86938493611. The next prime is 86938493657. The reversal of 86938493641 is 14639483968.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62714684041 + 24223809600 = 250429^2 + 155640^2 .

It is a cyclic number.

It is not a de Polignac number, because 86938493641 - 221 = 86936396489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86938493641.

It is not a weakly prime, because it can be changed into another prime (86938493611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43469246820 + 43469246821.

It is an arithmetic number, because the mean of its divisors is an integer number (43469246821).

Almost surely, 286938493641 is an apocalyptic number.

It is an amenable number.

86938493641 is a deficient number, since it is larger than the sum of its proper divisors (1).

86938493641 is an equidigital number, since it uses as much as digits as its factorization.

86938493641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26873856, while the sum is 61.

The spelling of 86938493641 in words is "eighty-six billion, nine hundred thirty-eight million, four hundred ninety-three thousand, six hundred forty-one".