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58076341156720 = 24517294334244741
BaseRepresentation
bin11010011010001111100111…
…01011110011101101110000
321121122001012001220020121001
431031013303223303231300
530103010321314003340
6323303523001211344
715142606605521365
oct1515076353635560
9247561161806531
1058076341156720
1117561046599287
12661b701190b54
132653763408503
14104aca4b1646c
156aaa73c5c29a
hex34d1f3af3b70

58076341156720 has 160 divisors (see below), whose sum is σ = 151339843005120. Its totient is φ = 20619168890880.

The previous prime is 58076341156681. The next prime is 58076341156739. The reversal of 58076341156720 is 2765114367085.

It is a super-3 number, since 3×580763411567203 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 15426451 + ... + 18818290.

It is an arithmetic number, because the mean of its divisors is an integer number (945874018782).

Almost surely, 258076341156720 is an apocalyptic number.

It is an amenable number.

58076341156720 is an abundant number, since it is smaller than the sum of its proper divisors (93263501848400).

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

58076341156720 is a wasteful number, since it uses less digits than its factorization.

58076341156720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34244843 (or 34244837 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 58076341156720 in words is "fifty-eight trillion, seventy-six billion, three hundred forty-one million, one hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 43 58 68 80 85 86 116 136 145 170 172 215 232 272 290 340 344 430 464 493 580 680 688 731 860 986 1160 1247 1360 1462 1720 1972 2320 2465 2494 2924 3440 3655 3944 4930 4988 5848 6235 7310 7888 9860 9976 11696 12470 14620 19720 19952 21199 24940 29240 39440 42398 49880 58480 84796 99760 105995 169592 211990 339184 423980 847960 1695920 34244741 68489482 136978964 171223705 273957928 342447410 547915856 582160597 684894820 993097489 1164321194 1369789640 1472523863 1986194978 2328642388 2739579280 2910802985 2945047726 3972389956 4657284776 4965487445 5821605970 5890095452 7362619315 7944779912 9314569552 9930974890 11643211940 11780190904 14725238630 15889559824 16882657313 19861949780 23286423880 23560381808 25032905671 29450477260 33765314626 39723899560 42703192027 46572847760 50065811342 58900954520 67530629252 79447799120 84413286565 85406384054 100131622684 117801909040 125164528355 135061258504 168826573130 170812768108 200263245368 213515960135 250329056710 270122517008 337653146260 341625536216 400526490736 427031920270 500658113420 675306292520 683251072432 725954264459 854063840540 1001316226840 1350612585040 1451908528918 1708127681080 2002632453680 2903817057836 3416255362160 3629771322295 5807634115672 7259542644590 11615268231344 14519085289180 29038170578360 58076341156720