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85382185594880 = 21254918490941
BaseRepresentation
bin10011011010011110010110…
…110101111011000000000000
3102012022110100022120222022202
4103122132112311323000000
542142400204003014010
6501332011244452332
723661442103621366
oct2332362665730000
9365273308528282
1085382185594880
112522942194a839
1296ab78124a0a8
1338846759168a5
14171273c5c5636
159d0ebeb0b6a5
hex4da796d7b000

85382185594880 has 104 divisors (see below), whose sum is σ = 205309551081744. Its totient is φ = 34083312435200.

The previous prime is 85382185594873. The next prime is 85382185594889. The reversal of 85382185594880 is 8849558128358.

It is a junction number, because it is equal to n+sod(n) for n = 85382185594798 and 85382185594807.

It is not an unprimeable number, because it can be changed into a prime (85382185594889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5810210 + ... + 14301150.

Almost surely, 285382185594880 is an apocalyptic number.

85382185594880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85382185594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102654775540872).

85382185594880 is an abundant number, since it is smaller than the sum of its proper divisors (119927365486864).

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

85382185594880 is an equidigital number, since it uses as much as digits as its factorization.

85382185594880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8491461 (or 8491439 counting only the distinct ones).

The product of its (nonzero) digits is 884736000, while the sum is 74.

The spelling of 85382185594880 in words is "eighty-five trillion, three hundred eighty-two billion, one hundred eighty-five million, five hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 491 512 640 982 1024 1280 1964 2048 2455 2560 3928 4096 4910 5120 7856 9820 10240 15712 19640 20480 31424 39280 62848 78560 125696 157120 251392 314240 502784 628480 1005568 1256960 2011136 2513920 5027840 8490941 10055680 16981882 33963764 42454705 67927528 84909410 135855056 169818820 271710112 339637640 543420224 679275280 1086840448 1358550560 2173680896 2717101120 4169052031 4347361792 5434202240 8338104062 8694723584 10868404480 16676208124 17389447168 20845260155 21736808960 33352416248 34778894336 41690520310 43473617920 66704832496 83381040620 86947235840 133409664992 166762081240 173894471680 266819329984 333524162480 533638659968 667048324960 1067277319936 1334096649920 2134554639872 2668193299840 4269109279744 5336386599680 8538218559488 10672773199360 17076437118976 21345546398720 42691092797440 85382185594880