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85465435240174 = 21159349511336899
BaseRepresentation
bin10011011011101011111000…
…111010000111011011101110
3102012121102020010111010121211
4103123223320322013123232
542200231202410141144
6501434140125345034
724000450105132463
oct2333537072073356
9365542203433554
1085465435240174
1125260762128490
12970393540817a
13388c482080032
141716798b8d66a
159d3243533034
hex4dbaf8e876ee

85465435240174 has 64 divisors (see below), whose sum is σ = 142662189600000. Its totient is φ = 38071580739840.

The previous prime is 85465435240103. The next prime is 85465435240259. The reversal of 85465435240174 is 47104253456458.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316180777 + ... + 2316217675.

It is an arithmetic number, because the mean of its divisors is an integer number (2229096712500).

Almost surely, 285465435240174 is an apocalyptic number.

85465435240174 is a deficient number, since it is larger than the sum of its proper divisors (57196754359826).

85465435240174 is a wasteful number, since it uses less digits than its factorization.

85465435240174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42433.

The product of its (nonzero) digits is 64512000, while the sum is 58.

The spelling of 85465435240174 in words is "eighty-five trillion, four hundred sixty-five billion, four hundred thirty-five million, two hundred forty thousand, one hundred seventy-four".

Divisors: 1 2 11 22 59 118 349 649 698 1298 3839 5113 7678 10226 20591 36899 41182 56243 73798 112486 226501 301667 405889 453002 603334 811778 1784437 2177041 3318337 3568874 4354082 6636674 12877751 19628807 23947451 25755502 39257614 47894902 105281783 141655261 188664587 210563566 283310522 377329174 759787309 1158099613 1519574618 2075310457 2316199226 4150620914 8357660399 11131210633 16715320798 22262421266 65843940863 122443316963 131687881726 244886633926 724283349493 1448566698986 3884792510917 7769585021834 42732717620087 85465435240174