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85168005 = 35133173193
BaseRepresentation
bin1010001001110…
…00111110000101
312221020222112120
411010320332011
5133300334010
612241240153
72052626136
oct504707605
9187228476
1085168005
1144090a8a
1224633059
131484c790
14b44dc8d
157724e70
hex5138f85

85168005 has 64 divisors (see below), whose sum is σ = 154355712. Its totient is φ = 39813120.

The previous prime is 85167991. The next prime is 85168019. The reversal of 85168005 is 50086158.

It is an interprime number because it is at equal distance from previous prime (85167991) and next prime (85168019).

It is not a de Polignac number, because 85168005 - 29 = 85167493 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 441189 + ... + 441381.

It is an arithmetic number, because the mean of its divisors is an integer number (2411808).

Almost surely, 285168005 is an apocalyptic number.

It is an amenable number.

85168005 is a deficient number, since it is larger than the sum of its proper divisors (69187707).

85168005 is a wasteful number, since it uses less digits than its factorization.

85168005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 85168005 is about 9228.6513099152. The cubic root of 85168005 is about 439.9724586756.

The spelling of 85168005 in words is "eighty-five million, one hundred sixty-eight thousand, five".

Divisors: 1 3 5 13 15 31 39 65 73 93 155 193 195 219 365 403 465 579 949 965 1095 1209 2015 2263 2509 2847 2895 4745 5983 6045 6789 7527 11315 12545 14089 14235 17949 29419 29915 33945 37635 42267 70445 77779 88257 89745 147095 183157 211335 233337 388895 436759 441285 549471 915785 1166685 1310277 2183795 2747355 5677867 6551385 17033601 28389335 85168005