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8498927445264 = 243283229272
BaseRepresentation
bin111101110101100111110…
…0011010010010100010000
31010002111012212101200121100
41323223033203102110100
52103221300411222024
630024204154424400
71535012226221064
oct173531743222420
933074185350540
108498927445264
112787413a81463
12b53195732100
134985a3780459
142154c9269aa4
15eb1238347c9
hex7bacf8d2510

8498927445264 has 135 divisors (see below), whose sum is σ = 24083442030583. Its totient is φ = 2797887360576.

The previous prime is 8498927445251. The next prime is 8498927445301. The reversal of 8498927445264 is 4625447298948.

The square root of 8498927445264 is 2915292.

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

8498927445264 is a `hidden beast` number, since 8 + 4 + 9 + 8 + 92 + 7 + 4 + 4 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8498927445192 and 8498927445201.

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, 2903629369 + ... + 2903632295.

Almost surely, 28498927445264 is an apocalyptic number.

8498927445264 is the 2915292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8498927445264

8498927445264 is an abundant number, since it is smaller than the sum of its proper divisors (15584514585319).

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

8498927445264 is an frugal number, since it uses more digits than its factorization.

8498927445264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 3015 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 8498927445264 in words is "eight trillion, four hundred ninety-eight billion, nine hundred twenty-seven million, four hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2927 2988 3984 5854 5976 6889 8781 11708 11952 13778 17562 20667 23416 26343 27556 35124 41334 46832 52686 55112 62001 70248 82668 105372 110224 124002 140496 165336 210744 242941 248004 330672 421488 485882 496008 728823 971764 992016 1457646 1943528 2186469 2915292 3887056 4372938 5830584 8567329 8745876 11661168 17134658 17491752 20164103 25701987 34269316 34983504 40328206 51403974 60492309 68538632 77105961 80656412 102807948 120984618 137077264 154211922 161312824 181476927 205615896 241969236 308423844 322625648 362953854 411231792 483938472 616847688 711088307 725907708 967876944 1233695376 1422176614 1451815416 2133264921 2844353228 2903630832 4266529842 5688706456 6399794763 8533059684 11377412912 12799589526 17066119368 25599179052 34132238736 51198358104 59020329481 102396716208 118040658962 177060988443 236081317924 354121976886 472162635848 531182965329 708243953772 944325271696 1062365930658 1416487907544 2124731861316 2832975815088 4249463722632 8498927445264