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6482543735056 = 242924724672
BaseRepresentation
bin101111001010101010110…
…1101110111000100010000
3211221201120121201010101111
41132111111231313010100
51322202222144010211
621442012305543104
71236230322405034
oct136252555670420
924851517633344
106482543735056
11207a25aa36704
1288843a944a94
133803bbb05ccc
14185a848c41c4
15b395c319421
hex5e555b77110

6482543735056 has 135 divisors (see below), whose sum is σ = 13319138306149. Its totient is φ = 3056359970944.

The previous prime is 6482543735051. The next prime is 6482543735069. The reversal of 6482543735056 is 6505373452846.

The square root of 6482543735056 is 2546084.

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

It can be written as a sum of positive squares in only one way, i.e., 3399288688656 + 3083255046400 = 1843716^2 + 1755920^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6482543735051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13881249735 + ... + 13881250201.

Almost surely, 26482543735056 is an apocalyptic number.

6482543735056 is the 2546084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6482543735056

6482543735056 is an abundant number, since it is smaller than the sum of its proper divisors (6836594571093).

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

6482543735056 is an frugal number, since it uses more digits than its factorization.

6482543735056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 58.

The spelling of 6482543735056 in words is "six trillion, four hundred eighty-two billion, five hundred forty-three million, seven hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 467 752 841 934 1363 1682 1868 2209 2726 3364 3736 4418 5452 6728 7472 8836 10904 13456 13543 17672 21808 21949 27086 35344 39527 43898 54172 64061 79054 87796 108344 128122 158108 175592 216688 218089 256244 316216 351184 392747 436178 512488 632432 636521 785494 872356 1024976 1031603 1273042 1570988 1744712 1857769 2063206 2546084 3141976 3489424 3715538 4126412 5092168 6283952 6324581 7431076 8252824 10184336 10250183 12649162 14862152 16505648 18459109 20500366 25298324 29724304 29916487 36918218 41000732 50596648 59832974 73836436 82001464 101193296 119665948 147672872 164002928 183412849 239331896 295345744 297255307 366825698 478663792 481758601 594510614 733651396 867578123 963517202 1189021228 1467302792 1735156246 1927034404 2378042456 2934605584 3470312492 3854068808 4756084912 6940624984 7708137616 8620403903 13881249968 13970999429 17240807806 27941998858 34481615612 55883997716 68963231224 111767995432 137926462448 223535990864 405158983441 810317966882 1620635933764 3241271867528 6482543735056