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96828285394320 = 243526910613141319
BaseRepresentation
bin10110000001000010010111…
…100011100001110110010000
3110200211200201200201110220020
4112001002113203201312100
5100142413312030104240
6541534144503143440
726252420114623464
oct2601022743416620
9420750650643806
1096828285394320
1128941710884747
12aa39b78a44b80
134204b3939a6bc
1419ca72a6784a4
15b2dad4e440d0
hex5810978e1d90

96828285394320 has 160 divisors (see below), whose sum is σ = 301314070022400. Its totient is φ = 25722281797632.

The previous prime is 96828285394297. The next prime is 96828285394369. The reversal of 96828285394320 is 2349358282869.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685104621 + ... + 685245939.

It is an arithmetic number, because the mean of its divisors is an integer number (1883212937640).

Almost surely, 296828285394320 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 96828285394320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150657035011200).

96828285394320 is an abundant number, since it is smaller than the sum of its proper divisors (204485784628080).

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

96828285394320 is a wasteful number, since it uses less digits than its factorization.

96828285394320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152217 (or 152211 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 69.

The spelling of 96828285394320 in words is "ninety-six trillion, eight hundred twenty-eight billion, two hundred eighty-five million, three hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 10613 10760 12912 16140 21226 21520 31839 32280 42452 53065 63678 64560 84904 106130 127356 141319 159195 169808 212260 254712 282638 318390 423957 424520 509424 565276 636780 706595 847914 849040 1130552 1273560 1413190 1695828 2119785 2261104 2547120 2826380 2854897 3391656 4239570 5652760 5709794 6783312 8479140 8564691 11305520 11419588 14274485 16958280 17129382 22839176 28548970 33916560 34258764 38014811 42823455 45678352 57097940 68517528 76029622 85646910 114044433 114195880 137035056 152059244 171293820 190074055 228088866 228391760 304118488 342587640 380148110 456177732 570222165 608236976 685175280 760296220 912355464 1140444330 1499818547 1520592440 1824710928 2280888660 2999637094 3041184880 4499455641 4561777320 5999274188 7499092735 8998911282 9123554640 11998548376 14998185470 17997822564 22497278205 23997096752 29996370940 35995645128 44994556410 59992741880 71991290256 89989112820 119985483760 179978225640 359956451280 403451189143 806902378286 1210353567429 1613804756572 2017255945715 2420707134858 3227609513144 4034511891430 4841414269716 6051767837145 6455219026288 8069023782860 9682828539432 12103535674290 16138047565720 19365657078864 24207071348580 32276095131440 48414142697160 96828285394320