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6842695610112 = 28379870712953
BaseRepresentation
bin110001110010011000001…
…1100001110111100000000
3220020011012020000000021220
41203210300130032330000
51344102320034010422
622315254014315040
71304240243004465
oct143446034167400
926204166000256
106842695610112
1121a8a75312a3a
129261b0ab8a80
133a835699929b
1419928c73166c
15bceda72ae5c
hex6393070ef00

6842695610112 has 144 divisors (see below), whose sum is σ = 18445617200640. Its totient is φ = 2251593916416.

The previous prime is 6842695610099. The next prime is 6842695610117. The reversal of 6842695610112 is 2110165962486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6842695610117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528264628 + ... + 528277580.

Almost surely, 26842695610112 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 6842695610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222808600320).

6842695610112 is an abundant number, since it is smaller than the sum of its proper divisors (11602921590528).

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

6842695610112 is a wasteful number, since it uses less digits than its factorization.

6842695610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21758 (or 21744 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 6842695610112 in words is "six trillion, eight hundred forty-two billion, six hundred ninety-five million, six hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3792 5056 7584 8707 10112 12953 15168 17414 20224 25906 26121 30336 34828 38859 51812 52242 60672 69656 77718 103624 104484 139312 155436 207248 208968 278624 310872 414496 417936 557248 621744 687853 828992 835872 1023287 1114496 1243488 1375706 1657984 1671744 2046574 2063559 2228992 2486976 2751412 3069861 3315968 3343488 4093148 4127118 4973952 5502824 6139722 6686976 8186296 8254236 9947904 11005648 12279444 16372592 16508472 22011296 24558888 32745184 33016944 44022592 49117776 65490368 66033888 88045184 98235552 112781771 130980736 132067776 176090368 196471104 225563542 261961472 264135552 338345313 392942208 451127084 528271104 676690626 785884416 902254168 1353381252 1804508336 2706762504 3609016672 5413525008 7218033344 8909759909 10827050016 14436066688 17819519818 21654100032 26729279727 28872133376 35639039636 43308200064 53458559454 71278079272 86616400128 106917118908 142556158544 213834237816 285112317088 427668475632 570224634176 855336951264 1140449268352 1710673902528 2280898536704 3421347805056 6842695610112