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82820781796 = 2237238892
BaseRepresentation
bin100110100100010000…
…0001101011011100100
321220202220220122011211
41031020200031123210
52324104110004141
6102014120441204
75661243013144
oct1151040153344
9256686818154
1082820781796
1132140199205
1214074619204
137a6b65a27c
14401964c924
15224ae60d81
hex134880d6e4

82820781796 has 27 divisors (see below), whose sum is σ = 148997750139. Its totient is φ = 40280830848.

The previous prime is 82820781779. The next prime is 82820781851. The reversal of 82820781796 is 69718702828.

The square root of 82820781796 is 287786.

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 33419496100 + 49401285696 = 182810^2 + 222264^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82820781796.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21294220 + ... + 21298108.

Almost surely, 282820781796 is an apocalyptic number.

82820781796 is the 287786-th square number.

It is an amenable number.

82820781796 is a deficient number, since it is larger than the sum of its proper divisors (66176968343).

82820781796 is an frugal number, since it uses more digits than its factorization.

82820781796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7856 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The spelling of 82820781796 in words is "eighty-two billion, eight hundred twenty million, seven hundred eighty-one thousand, seven hundred ninety-six".

Divisors: 1 2 4 37 74 148 1369 2738 3889 5476 7778 15556 143893 287786 575572 5324041 10648082 15124321 21296164 30248642 60497284 559599877 1119199754 2238399508 20705195449 41410390898 82820781796