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84696108288 = 2831129334217
BaseRepresentation
bin100111011100001001…
…0000000110100000000
322002121121200002111120
41032320102000310000
52341424200431123
6102524151312240
76055564020261
oct1167022006400
9262547602446
1084696108288
1132a12821810
12144b867b680
137caa03240c
144156732968
15230a8e82e3
hex13b8480d00

84696108288 has 144 divisors (see below), whose sum is σ = 246753936576. Its totient is φ = 25577144320.

The previous prime is 84696108269. The next prime is 84696108317. The reversal of 84696108288 is 88280169648.

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, 2458156 + ... + 2492372.

It is an arithmetic number, because the mean of its divisors is an integer number (1713569004).

Almost surely, 284696108288 is an apocalyptic number.

84696108288 is a gapful number since it is divisible by the number (88) 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 84696108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123376968288).

84696108288 is an abundant number, since it is smaller than the sum of its proper divisors (162057828288).

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

84696108288 is a wasteful number, since it uses less digits than its factorization.

84696108288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34540 (or 34526 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 84696108288 in words is "eighty-four billion, six hundred ninety-six million, one hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 293 352 384 528 586 704 768 879 1056 1172 1408 1758 2112 2344 2816 3223 3516 4224 4688 6446 7032 8448 9376 9669 12892 14064 18752 19338 25784 28128 34217 37504 38676 51568 56256 68434 75008 77352 102651 103136 112512 136868 154704 205302 206272 225024 273736 309408 376387 410604 412544 547472 618816 752774 821208 825088 1094944 1129161 1237632 1505548 1642416 2189888 2258322 2475264 3011096 3284832 4379776 4516644 6022192 6569664 8759552 9033288 10025581 12044384 13139328 18066576 20051162 24088768 26278656 30076743 36133152 40102324 48177536 60153486 72266304 80204648 96355072 110281391 120306972 144532608 160409296 220562782 240613944 289065216 320818592 330844173 441125564 481227888 641637184 661688346 882251128 962455776 1283274368 1323376692 1764502256 1924911552 2566548736 2646753384 3529004512 3849823104 5293506768 7058009024 7699646208 10587013536 14116018048 21174027072 28232036096 42348054144 84696108288