Search a number
-
+
12643233530753 = 72609014236797
BaseRepresentation
bin1011011111111011101101…
…1100011000001110000001
31122202200101200110002002102
42313332323130120032001
53124121320240441003
642520115445000145
72443305053553500
oct267767334301601
948680350402072
1012643233530753
114034a687a0a01
1215024153b3055
137093372ab247
14319d15a66837
1516dd2d598588
hexb7fbb718381

12643233530753 has 12 divisors (see below), whose sum is σ = 14707679892372. Its totient is φ = 10836876808800.

The previous prime is 12643233530717. The next prime is 12643233530797. The reversal of 12643233530753 is 35703533234621.

It can be written as a sum of positive squares in 2 ways, for example, as 3009832902769 + 9633400627984 = 1734887^2 + 3103772^2 .

It is not a de Polignac number, because 12643233530753 - 236 = 12574514054017 is a prime.

It is a super-3 number, since 3×126432335307533 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12643233530698 and 12643233530707.

It is not an unprimeable number, because it can be changed into a prime (12643233530353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 865751 + ... + 5102547.

It is an arithmetic number, because the mean of its divisors is an integer number (1225639991031).

Almost surely, 212643233530753 is an apocalyptic number.

It is an amenable number.

12643233530753 is a deficient number, since it is larger than the sum of its proper divisors (2064446361619).

12643233530753 is an equidigital number, since it uses as much as digits as its factorization.

12643233530753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297712 (or 4297705 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 47.

The spelling of 12643233530753 in words is "twelve trillion, six hundred forty-three billion, two hundred thirty-three million, five hundred thirty thousand, seven hundred fifty-three".

Divisors: 1 7 49 60901 426307 2984149 4236797 29657579 207603053 258025174097 1806176218679 12643233530753