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85375605120 = 2735133420497
BaseRepresentation
bin100111110000011001…
…0000101100110000000
322011100222021002220220
41033200302011212000
52344322123330440
6103115423303040
76111454445511
oct1174062054600
9264328232826
1085375605120
1133231337843
121466814aa80
138087a43350
1441bca90a08
15234a3ba8d0
hex13e0c85980

85375605120 has 128 divisors (see below), whose sum is σ = 293068268640. Its totient is φ = 21015527424.

The previous prime is 85375605083. The next prime is 85375605151. The reversal of 85375605120 is 2150657358.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1685289 + ... + 1735208.

Almost surely, 285375605120 is an apocalyptic number.

85375605120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85375605120 is an abundant number, since it is smaller than the sum of its proper divisors (207692663520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85375605120 is a wasteful number, since it uses less digits than its factorization.

85375605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420532 (or 3420520 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 85375605120 in words is "eighty-five billion, three hundred seventy-five million, six hundred five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 3420497 6840994 10261491 13681988 17102485 20522982 27363976 34204970 41045964 44466461 51307455 54727952 68409940 82091928 88932922 102614910 109455904 133399383 136819880 164183856 177865844 205229820 218911808 222332305 266798766 273639760 328367712 355731688 410459640 437823616 444664610 533597532 547279520 656735424 666996915 711463376 820919280 889329220 1067195064 1094559040 1313470848 1333993830 1422926752 1641838560 1778658440 2134390128 2189118080 2667987660 2845853504 3283677120 3557316880 4268780256 5335975320 5691707008 6567354240 7114633760 8537560512 10671950640 14229267520 17075121024 21343901280 28458535040 42687802560 85375605120