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85644170525 = 5228112191341
BaseRepresentation
bin100111111000011001…
…0100101010100011101
322012001200121122101202
41033300302211110131
52400344401424100
6103202215445245
76121225303154
oct1176062452435
9265050548352
1085644170525
11333599a0a21
1214722086825
1380cb5861a4
14420660059b
152363c6a7d5
hex13f0ca551d

85644170525 has 12 divisors (see below), whose sum is σ = 106576711764. Its totient is φ = 68271504000.

The previous prime is 85644170509. The next prime is 85644170531. The reversal of 85644170525 is 52507144658.

It can be written as a sum of positive squares in 6 ways, for example, as 1986128356 + 83658042169 = 44566^2 + 289237^2 .

It is not a de Polignac number, because 85644170525 - 24 = 85644170509 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85644170525.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6088646 + ... + 6102695.

It is an arithmetic number, because the mean of its divisors is an integer number (8881392647).

Almost surely, 285644170525 is an apocalyptic number.

It is an amenable number.

85644170525 is a deficient number, since it is larger than the sum of its proper divisors (20932541239).

85644170525 is a wasteful number, since it uses less digits than its factorization.

85644170525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12191632 (or 12191627 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 47.

The spelling of 85644170525 in words is "eighty-five billion, six hundred forty-four million, one hundred seventy thousand, five hundred twenty-five".

Divisors: 1 5 25 281 1405 7025 12191341 60956705 304783525 3425766821 17128834105 85644170525