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271528535056 = 24172792972
BaseRepresentation
bin1111110011100001011…
…1001010010000010000
3221221212021211202021111
43330320113022100100
513422042301110211
6324423302503104
725421505316042
oct3747027122020
9857767752244
10271528535056
11a5177863289
124475a434a94
131c7b333a02c
14d1dbb07a92
1570e2d69421
hex3f385ca410

271528535056 has 135 divisors (see below), whose sum is σ = 571912190199. Its totient is φ = 124860063744.

The previous prime is 271528535041. The next prime is 271528535123. The reversal of 271528535056 is 650535825172.

The square root of 271528535056 is 521084.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15897175056 + 255631360000 = 126084^2 + 505600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2799263200 + ... + 2799263296.

Almost surely, 2271528535056 is an apocalyptic number.

271528535056 is the 521084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271528535056

271528535056 is an abundant number, since it is smaller than the sum of its proper divisors (300383655143).

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

271528535056 is an frugal number, since it uses more digits than its factorization.

271528535056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 49.

Multiplying 271528535056 by its sum of digits (49), we get a square (13304898217744 = 36475882).

The spelling of 271528535056 in words is "two hundred seventy-one billion, five hundred twenty-eight million, five hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 34 68 79 97 136 158 194 272 289 316 388 578 632 776 1156 1264 1343 1552 1649 2312 2686 3298 4624 5372 6241 6596 7663 9409 10744 12482 13192 15326 18818 21488 22831 24964 26384 28033 30652 37636 45662 49928 56066 61304 75272 91324 99856 106097 112132 122608 130271 150544 159953 182648 212194 224264 260542 319906 365296 424388 448528 521084 605377 639812 743311 848776 1042168 1210754 1279624 1486622 1697552 1803649 2084336 2214607 2421508 2559248 2719201 2973244 3607298 4429214 4843016 5438402 5946488 7214596 8858428 9686032 10291409 10876804 11892976 12636287 14429192 17716856 20582818 21753608 25272574 28858384 35433712 41165636 43507216 50545148 58721569 82331272 101090296 117443138 164662544 174953953 202180592 214816879 234886276 349907906 429633758 469772552 699815812 859267516 939545104 998266673 1399631624 1718535032 1996533346 2799263248 3437070064 3993066692 7986133384 15972266768 16970533441 33941066882 67882133764 135764267528 271528535056