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86904823984384 = 28728839783799
BaseRepresentation
bin10011110000101000011011…
…001010011011000100000000
3102101201000112121100110021211
4103300220123022123010000
542342322034420000014
6504455305221455504
724206444360444500
oct2360503312330400
9371630477313254
1086904823984384
112576614659823a
1298b68a1871594
1339651221cc533
1417663046cda00
15a0a8d9686cc4
hex4f0a1b29b100

86904823984384 has 108 divisors (see below), whose sum is σ = 201814924584000. Its totient is φ = 37240663348224.

The previous prime is 86904823984369. The next prime is 86904823984403. The reversal of 86904823984384 is 48348932840968.

It is a self number, because there is not a number n which added to its sum of digits gives 86904823984384.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110484517 + ... + 111268315.

Almost surely, 286904823984384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86904823984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100907462292000).

86904823984384 is an abundant number, since it is smaller than the sum of its proper divisors (114910100599616).

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

86904823984384 is an equidigital number, since it uses as much as digits as its factorization.

86904823984384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792668 (or 792647 counting only the distinct ones).

The product of its (nonzero) digits is 2293235712, while the sum is 76.

The spelling of 86904823984384 in words is "eighty-six trillion, nine hundred four billion, eight hundred twenty-three million, nine hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 8839 12544 17678 35356 61873 70712 123746 141424 247492 282848 433111 494984 565696 783799 866222 989968 1131392 1567598 1732444 1979936 2262784 3135196 3464888 3959872 5486593 6270392 6929776 7919744 10973186 12540784 13859552 15839488 21946372 25081568 27719104 38406151 43892744 50163136 55438208 76812302 87785488 100326272 110876416 153624604 175570976 200652544 307249208 351141952 614498416 702283904 1228996832 1404567808 2457993664 4915987328 6927999361 9831974656 13855998722 27711997444 48495995527 55423994888 96991991054 110847989776 193983982108 221695979552 339471968689 387967964216 443391959104 678943937378 775935928432 886783918208 1357887874756 1551871856864 1773567836416 2715775749512 3103743713728 5431551499024 6207487427456 10863102998048 12414974854912 21726205996096 43452411992192 86904823984384