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81246661444 = 221321925772
BaseRepresentation
bin100101110101010101…
…1011010101101000100
321202201012221001000001
41023222223122231010
52312343121131234
6101154005531044
75604240141034
oct1135253325504
9252635831001
1081246661444
11315026932a3
12138b5413a84
13787a4b5c00
143d0a5738c4
1521a7b74d14
hex12eaadab44

81246661444 has 81 divisors (see below), whose sum is σ = 162771759927. Its totient is φ = 35463287808.

The previous prime is 81246661439. The next prime is 81246661459. The reversal of 81246661444 is 44416664218.

The square root of 81246661444 is 285038.

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 7632119044 + 73614542400 = 87362^2 + 271320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 81246661394 and 81246661403.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 140808484 + ... + 140809060.

Almost surely, 281246661444 is an apocalyptic number.

81246661444 is the 285038-th square number.

It is an amenable number.

81246661444 is an abundant number, since it is smaller than the sum of its proper divisors (81525098483).

81246661444 is a wasteful number, since it uses less digits than its factorization.

81246661444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 611 counting only the distinct ones).

The product of its digits is 884736, while the sum is 46.

The spelling of 81246661444 in words is "eighty-one billion, two hundred forty-six million, six hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 4 13 19 26 38 52 76 169 247 338 361 494 577 676 722 988 1154 1444 2308 3211 4693 6422 7501 9386 10963 12844 15002 18772 21926 30004 43852 61009 97513 122018 142519 195026 208297 244036 285038 332929 390052 416594 570076 665858 833188 1331716 1852747 2707861 3705494 4328077 5415722 6325651 7410988 8656154 10831444 12651302 17312308 25302604 35202193 56265001 70404386 82233463 112530002 120187369 140808772 164466926 225060004 240374738 328933852 480749476 1069035019 1562435797 2138070038 3124871594 4276140076 6249743188 20311665361 40623330722 81246661444