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1291264050244 = 227223235292
BaseRepresentation
bin10010110010100101010…
…101011100010001000100
311120102222102010020001111
4102302211111130101010
5132124002044101434
62425110513534404
7162201504221200
oct22624525342104
94512872106044
101291264050244
11458692990903
1218a309874404
13949c5268abc
14466d7269b00
15238c7005964
hex12ca555c444

1291264050244 has 81 divisors (see below), whose sum is σ = 2748681539037. Its totient is φ = 529188061248.

The previous prime is 1291264050203. The next prime is 1291264050281. The reversal of 1291264050244 is 4420504621921.

The square root of 1291264050244 is 1136338.

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., 120713163844 + 1170550886400 = 347438^2 + 1081920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1291264050197 and 1291264050206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 365899072 + ... + 365902600.

Almost surely, 21291264050244 is an apocalyptic number.

1291264050244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1291264050244 is the 1136338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1291264050244

1291264050244 is an abundant number, since it is smaller than the sum of its proper divisors (1457417488793).

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

1291264050244 is an frugal number, since it uses more digits than its factorization.

1291264050244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7122 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 1291264050244 in words is "one trillion, two hundred ninety-one billion, two hundred sixty-four million, fifty thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 1058 1127 2116 2254 3529 3703 4508 7058 7406 14116 14812 24703 25921 49406 51842 81167 98812 103684 162334 172921 324668 345842 568169 691684 1136338 1866841 2272676 3733682 3977183 7467364 7954366 12453841 13067887 15908732 24907682 26135774 49815364 52271548 87176887 91475209 174353774 182950418 286438343 348707548 365900836 572876686 610238209 1145753372 1220476418 2005068401 2440952836 4010136802 6588081889 8020273604 13176163778 14035478807 26352327556 28070957614 46116573223 56141915228 92233146446 184466292892 322816012561 645632025122 1291264050244