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84716643440 = 245111326927529
BaseRepresentation
bin100111011100110000…
…0010110010001110000
322002200001022101102202
41032321200112101300
52341444430042230
6102530203402332
76056233405442
oct1167140262160
9262601271382
1084716643440
1132a23378110
12145035233a8
137cb13722b0
14415935a492
15230c602a45
hex13b9816470

84716643440 has 160 divisors (see below), whose sum is σ = 232269508800. Its totient is φ = 28329615360.

The previous prime is 84716643437. The next prime is 84716643461. The reversal of 84716643440 is 4434661748.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3063596 + ... + 3091124.

It is an arithmetic number, because the mean of its divisors is an integer number (1451684430).

Almost surely, 284716643440 is an apocalyptic number.

84716643440 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 84716643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116134754400).

84716643440 is an abundant number, since it is smaller than the sum of its proper divisors (147552865360).

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

84716643440 is a wasteful number, since it uses less digits than its factorization.

84716643440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27835 (or 27829 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 84716643440 in words is "eighty-four billion, seven hundred sixteen million, six hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 269 286 440 520 538 572 715 880 1040 1076 1144 1345 1430 2152 2288 2690 2860 2959 3497 4304 5380 5720 5918 6994 10760 11440 11836 13988 14795 17485 21520 23672 27529 27976 29590 34970 38467 47344 55058 55952 59180 69940 76934 110116 118360 137645 139880 153868 192335 220232 236720 275290 279760 302819 307736 357877 384670 440464 550580 605638 615472 715754 769340 1101160 1211276 1431508 1514095 1538680 1789385 2202320 2422552 2863016 3028190 3077360 3578770 3936647 4845104 5726032 6056380 7157540 7405301 7873294 12112760 14315080 14810602 15746588 19683235 24225520 28630160 29621204 31493176 37026505 39366470 59242408 62986352 74053010 78732940 81458311 96268913 118484816 148106020 157465880 162916622 192537826 296212040 314931760 325833244 385075652 407291555 481344565 592424080 651666488 770151304 814583110 962689130 1058958043 1303332976 1540302608 1629166220 1925378260 2117916086 3258332440 3850756520 4235832172 5294790215 6516664880 7701513040 8471664344 10589580430 16943328688 21179160860 42358321720 84716643440