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86288415457 is a prime number
BaseRepresentation
bin101000001011100110…
…0001011101011100001
322020201120212200022011
41100113030023223201
52403204313243312
6103350152112521
76143210300236
oct1202714135341
9266646780264
1086288415457
113365a619752
1214881995741
1381a1ba37ca
144267dc378d
1523a05c7da7
hex141730bae1

86288415457 has 2 divisors, whose sum is σ = 86288415458. Its totient is φ = 86288415456.

The previous prime is 86288415383. The next prime is 86288415509. The reversal of 86288415457 is 75451488268.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64717324816 + 21571090641 = 254396^2 + 146871^2 .

It is a cyclic number.

It is not a de Polignac number, because 86288415457 - 219 = 86287891169 is a prime.

It is not a weakly prime, because it can be changed into another prime (86288415557) 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, 43144207728 + 43144207729.

It is an arithmetic number, because the mean of its divisors is an integer number (43144207729).

Almost surely, 286288415457 is an apocalyptic number.

It is an amenable number.

86288415457 is a deficient number, since it is larger than the sum of its proper divisors (1).

86288415457 is an equidigital number, since it uses as much as digits as its factorization.

86288415457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17203200, while the sum is 58.

The spelling of 86288415457 in words is "eighty-six billion, two hundred eighty-eight million, four hundred fifteen thousand, four hundred fifty-seven".