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13482447011460 = 22325783128919937
BaseRepresentation
bin1100010000110010000001…
…1101101111111010000100
31202201220112220200000221100
43010030200131233322010
53231344022413331320
644401430050220100
72561034414500250
oct304144035577204
952656486600840
1013482447011460
114328967940099
121618ba4284630
1376a50a39722b
143487a7d3d260
15185a992ae790
hexc432076fe84

13482447011460 has 144 divisors (see below), whose sum is σ = 47302272291456. Its totient is φ = 3044573208576.

The previous prime is 13482447011431. The next prime is 13482447011483. The reversal of 13482447011460 is 6411074428431.

13482447011460 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 2 + 4 + 470 + 114 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64355389 + ... + 64564548.

It is an arithmetic number, because the mean of its divisors is an integer number (328488002024).

Almost surely, 213482447011460 is an apocalyptic number.

13482447011460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13482447011460 is an abundant number, since it is smaller than the sum of its proper divisors (33819825279996).

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

13482447011460 is a wasteful number, since it uses less digits than its factorization.

13482447011460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128920042 (or 128920037 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13482447011460 in words is "thirteen trillion, four hundred eighty-two billion, four hundred forty-seven million, eleven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 140 166 180 210 249 252 315 332 415 420 498 581 630 747 830 996 1162 1245 1260 1494 1660 1743 2324 2490 2905 2988 3486 3735 4980 5229 5810 6972 7470 8715 10458 11620 14940 17430 20916 26145 34860 52290 104580 128919937 257839874 386759811 515679748 644599685 773519622 902439559 1160279433 1289199370 1547039244 1804879118 1933799055 2320558866 2578398740 2707318677 3609758236 3867598110 4512197795 4641117732 5414637354 5801397165 7735196220 8121956031 9024395590 10700354771 10829274708 11602794330 13536593385 16243912062 18048791180 21400709542 23205588660 27073186770 32101064313 32487824124 40609780155 42801419084 53501773855 54146373540 64202128626 74902483397 81219560310 96303192939 107003547710 128404257252 149804966794 160505321565 162439120620 192606385878 214007095420 224707450191 299609933588 321010643130 374512416985 385212771756 449414900382 481515964695 642021286260 674122350573 749024833970 898829800764 963031929390 1123537250955 1348244701146 1498049667940 1926063858780 2247074501910 2696489402292 3370611752865 4494149003820 6741223505730 13482447011460