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10163426336 = 257217438867
BaseRepresentation
bin10010111011100100…
…11001010000100000
3222020022021112220122
421131302121100200
5131303314120321
64400301255412
7506600461400
oct113562312040
928208245818
1010163426336
114345a976a8
121b77864568
13c5c80a64b
146c5b44800
153e73e08ab
hex25dc99420

10163426336 has 144 divisors (see below), whose sum is σ = 25221230496. Its totient is φ = 4003743744.

The previous prime is 10163426303. The next prime is 10163426347. The reversal of 10163426336 is 63362436101.

It is a junction number, because it is equal to n+sod(n) for n = 10163426296 and 10163426305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141775 + ... + 1150641.

It is an arithmetic number, because the mean of its divisors is an integer number (175147434).

Almost surely, 210163426336 is an apocalyptic number.

10163426336 is a gapful number since it is divisible by the number (16) 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 10163426336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610615248).

10163426336 is an abundant number, since it is smaller than the sum of its proper divisors (15057804160).

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

10163426336 is a wasteful number, since it uses less digits than its factorization.

10163426336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8951 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 10163426336 in words is "ten billion, one hundred sixty-three million, four hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 49 56 68 86 98 112 119 136 172 196 224 238 272 301 344 392 476 544 602 688 731 784 833 952 1204 1376 1462 1568 1666 1904 2107 2408 2924 3332 3808 4214 4816 5117 5848 6664 8428 8867 9632 10234 11696 13328 16856 17734 20468 23392 26656 33712 35468 35819 40936 62069 67424 70936 71638 81872 124138 141872 143276 150739 163744 248276 283744 286552 301478 381281 434483 496552 573104 602956 762562 868966 993104 1055173 1146208 1205912 1525124 1737932 1986208 2110346 2411824 2668967 3050248 3475864 4220692 4823648 5337934 6100496 6481777 6951728 7386211 8441384 10675868 12200992 12963554 13903456 14772422 16882768 18682769 21351736 25927108 29544844 33765536 37365538 42703472 45372439 51854216 59089688 74731076 85406944 90744878 103708432 118179376 149462152 181489756 207416864 236358752 298924304 317607073 362979512 597848608 635214146 725959024 1270428292 1451918048 2540856584 5081713168 10163426336