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270132497461264 = 2423222727872
BaseRepresentation
bin111101011010111100011111…
…100011011011000000010000
31022102110102012012121020210011
4331122330133203123000100
5240401322323322230024
62354305053421244304
7110620300052651224
oct7532743743330020
91272412165536704
10270132497461264
1179088604528179
12263695a2a03694
13b7965013bb129
144a9c6a8504784
152136b75cc2094
hexf5af1f8db010

270132497461264 has 135 divisors (see below), whose sum is σ = 550246857049407. Its totient is φ = 128461230756672.

The previous prime is 270132497461249. The next prime is 270132497461289. The reversal of 270132497461264 is 462164794231072.

The square root of 270132497461264 is 16435708.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 270132497461199 and 270132497461208.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 343243325479 + ... + 343243326265.

Almost surely, 2270132497461264 is an apocalyptic number.

270132497461264 is the 16435708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270132497461264

270132497461264 is an abundant number, since it is smaller than the sum of its proper divisors (280114359588143).

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

270132497461264 is an frugal number, since it uses more digits than its factorization.

270132497461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 58.

The spelling of 270132497461264 in words is "two hundred seventy trillion, one hundred thirty-two billion, four hundred ninety-seven million, four hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 227 368 454 529 787 908 1058 1574 1816 2116 3148 3632 4232 5221 6296 8464 10442 12592 18101 20884 36202 41768 51529 72404 83536 103058 120083 144808 178649 206116 240166 289616 357298 412232 416323 480332 619369 714596 824464 832646 960664 1185167 1238738 1429192 1665292 1921328 2370334 2477476 2858384 3330584 4108927 4740668 4954952 6661168 8217854 9481336 9909904 14245487 16435708 18962672 27258841 28490974 32871416 40553323 54517682 56981948 65742832 81106646 94505321 109035364 113963896 140596763 162213292 189010642 218070728 227927792 281193526 324426584 327646201 378021284 436141456 562387052 648853168 655292402 756042568 932726429 1124774104 1310584804 1512085136 1865452858 2249548208 2621169608 3233725549 3730905716 5242339216 6467451098 7461811432 12934902196 14923622864 21452707867 25869804392 31915465201 42905415734 51739608784 63830930402 74375687627 85810831468 127661860804 148751375254 171621662936 255323721608 297502750508 343243325872 510647443216 595005501016 734055699623 1190011002032 1468111399246 2936222798492 5872445596984 11744891193968 16883281091329 33766562182658 67533124365316 135066248730632 270132497461264