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85509319455 = 3257271458157
BaseRepresentation
bin100111110100011000…
…0001010101100011111
322011201021212111111200
41033220300022230133
52400110341210310
6103141001250543
76115000136310
oct1175060125437
9264637774450
1085509319455
113329a86635a
12146a4a93a53
1380a965c661
1441d273a607
152356ece9c0
hex13e8c0ab1f

85509319455 has 24 divisors (see below), whose sum is σ = 169389890592. Its totient is φ = 39089974464.

The previous prime is 85509319453. The next prime is 85509319457. The reversal of 85509319455 is 55491390558.

85509319455 is a `hidden beast` number, since 8 + 550 + 9 + 31 + 9 + 4 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (85509319453) and next prime (85509319457).

It is not a de Polignac number, because 85509319455 - 21 = 85509319453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85509319453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135728764 + ... + 135729393.

It is an arithmetic number, because the mean of its divisors is an integer number (7057912108).

Almost surely, 285509319455 is an apocalyptic number.

85509319455 is a deficient number, since it is larger than the sum of its proper divisors (83880571137).

85509319455 is a wasteful number, since it uses less digits than its factorization.

85509319455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271458175 (or 271458172 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 85509319455 in words is "eighty-five billion, five hundred nine million, three hundred nineteen thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 271458157 814374471 1357290785 1900207099 2443123413 4071872355 5700621297 9501035495 12215617065 17101863891 28503106485 85509319455