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85641496005 = 35131034263953
BaseRepresentation
bin100111111000010100…
…0011000010111000101
322012001111120202122110
41033300220120113011
52400343210333010
6103202042251233
76121163463552
oct1176050302705
9265044522573
1085641496005
113335843457a
12147211b6b19
1380cab5aa30
144206105a29
1523638dd120
hex13f0a185c5

85641496005 has 32 divisors (see below), whose sum is σ = 148999608576. Its totient is φ = 41752617984.

The previous prime is 85641495997. The next prime is 85641496019. The reversal of 85641496005 is 50069414658.

It is not a de Polignac number, because 85641496005 - 23 = 85641495997 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 2111892 + ... + 2152061.

It is an arithmetic number, because the mean of its divisors is an integer number (4656237768).

Almost surely, 285641496005 is an apocalyptic number.

It is an amenable number.

85641496005 is a deficient number, since it is larger than the sum of its proper divisors (63358112571).

85641496005 is a wasteful number, since it uses less digits than its factorization.

85641496005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264077.

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 85641496005 in words is "eighty-five billion, six hundred forty-one million, four hundred ninety-six thousand, five".

Divisors: 1 3 5 13 15 39 65 103 195 309 515 1339 1545 4017 6695 20085 4263953 12791859 21319765 55431389 63959295 166294167 277156945 439187159 831470835 1317561477 2195935795 5709433067 6587807385 17128299201 28547165335 85641496005