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486882642096 = 243729479797
BaseRepresentation
bin1110001010111000111…
…01111000100010110000
31201112201200120220000000
413011130131320202300
530434113424021341
61011400520430000
750114256113364
oct7053435704260
91645650526000
10486882642096
11178538616344
127a440018300
1336bb3668936
14197cb0692a4
15c9e924d8b6
hex715c7788b0

486882642096 has 160 divisors (see below), whose sum is σ = 1463575819200. Its totient is φ = 156697535232.

The previous prime is 486882642091. The next prime is 486882642131. The reversal of 486882642096 is 690246288684.

486882642096 is a `hidden beast` number, since 48 + 6 + 8 + 82 + 6 + 420 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (486882642091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774870 + ... + 1254666.

It is an arithmetic number, because the mean of its divisors is an integer number (9147348870).

Almost surely, 2486882642096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486882642096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731787909600).

486882642096 is an abundant number, since it is smaller than the sum of its proper divisors (976693177104).

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

486882642096 is an equidigital number, since it uses as much as digits as its factorization.

486882642096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479855 (or 479831 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 486882642096 in words is "four hundred eighty-six billion, eight hundred eighty-two million, six hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 464 486 522 648 696 729 783 972 1044 1296 1392 1458 1566 1944 2088 2187 2349 2916 3132 3888 4176 4374 4698 5832 6264 7047 8748 9396 11664 12528 14094 17496 18792 21141 28188 34992 37584 42282 56376 63423 84564 112752 126846 169128 253692 338256 479797 507384 959594 1014768 1439391 1919188 2878782 3838376 4318173 5757564 7676752 8636346 11515128 12954519 13914113 17272692 23030256 25909038 27828226 34545384 38863557 41742339 51818076 55656452 69090768 77727114 83484678 103636152 111312904 116590671 125227017 155454228 166969356 207272304 222625808 233181342 250454034 310908456 333938712 349772013 375681051 466362684 500908068 621816912 667877424 699544026 751362102 932725368 1001816136 1049316039 1127043153 1399088052 1502724204 1865450736 2003632272 2098632078 2254086306 2798176104 3005448408 3381129459 4197264156 4508172612 5596352208 6010896816 6762258918 8394528312 9016345224 10143388377 13524517836 16789056624 18032690448 20286776754 27049035672 30430165131 40573553508 54098071344 60860330262 81147107016 121720660524 162294214032 243441321048 486882642096