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86573085326816 = 2511941876129833
BaseRepresentation
bin10011101011110011011101…
…111111110111110111100000
3102100112022021011112120100212
4103223303131333313313200
542321403134320424231
6504043043143033252
724143461521413564
oct2353633577676740
9370468234476325
1086573085326816
1125648491790830
12986253b13b828
13393ca64a4579a
1417542342776a4
15a01e7091142b
hex4ebcddff7de0

86573085326816 has 96 divisors (see below), whose sum is σ = 186160455333216. Its totient is φ = 39303779328000.

The previous prime is 86573085326807. The next prime is 86573085326873. The reversal of 86573085326816 is 61862358037568.

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, 2901908636 + ... + 2901938468.

It is an arithmetic number, because the mean of its divisors is an integer number (1939171409721).

Almost surely, 286573085326816 is an apocalyptic number.

It is an amenable number.

86573085326816 is an abundant number, since it is smaller than the sum of its proper divisors (99587370006400).

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

86573085326816 is a wasteful number, since it uses less digits than its factorization.

86573085326816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39556 (or 39548 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 68.

The spelling of 86573085326816 in words is "eighty-six trillion, five hundred seventy-three billion, eighty-five million, three hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 941 1882 3764 7528 8761 10351 15056 17522 20702 29833 30112 35044 41404 59666 70088 82808 96371 119332 140176 165616 192742 238664 280352 328163 331232 385484 477328 656326 770968 954656 1312652 1541936 2625304 3083872 5250608 8244101 10501216 16488202 28072853 32976404 56145706 65952808 90685111 112291412 131905616 181370222 224582824 261366913 263811232 308801383 362740444 449165648 522733826 617602766 725480888 898331296 1045467652 1235205532 1450961776 2090935304 2470411064 2875036043 2901923552 4181870608 4940822128 5750072086 8363741216 9881644256 11500144172 23000288344 46000576688 92001153376 245946265133 491892530266 983785060532 1967570121064 2705408916463 3935140242128 5410817832926 7870280484256 10821635665852 21643271331704 43286542663408 86573085326816