Search a number
-
+
10548549109609 = 72232201732
BaseRepresentation
bin1001100110000000011010…
…0001011100011101101001
31101100102122112011021020121
42121200012201130131221
52340311412033001414
634233534144123241
72136051611010400
oct231400641343551
941312575137217
1010548549109609
1133a7683a770a5
121224467906521
135b6954589a94
142867a40c4637
151345d2d72724
hex9980685c769

10548549109609 has 27 divisors (see below), whose sum is σ = 12828104616663. Its totient is φ = 8648071174512.

The previous prime is 10548549109601. The next prime is 10548549109619. The reversal of 10548549109609 is 90690194584501.

The square root of 10548549109609 is 3247853.

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., 10529732952025 + 18816157584 = 3244955^2 + 137172^2 .

It is not a de Polignac number, because 10548549109609 - 23 = 10548549109601 is a prime.

It is a super-2 number, since 2×105485491096092 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10548549109601) by changing a digit.

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, 522894247 + ... + 522914419.

Almost surely, 210548549109609 is an apocalyptic number.

10548549109609 is the 3247853-rd square number.

10548549109609 is the 1623927-th centered octagonal number.

It is an amenable number.

10548549109609 is a deficient number, since it is larger than the sum of its proper divisors (2279555507054).

10548549109609 is an frugal number, since it uses more digits than its factorization.

10548549109609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40406 (or 20203 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 61.

The spelling of 10548549109609 in words is "ten trillion, five hundred forty-eight billion, five hundred forty-nine million, one hundred nine thousand, six hundred nine".

Divisors: 1 7 23 49 161 529 1127 3703 20173 25921 141211 463979 988477 3247853 10671517 22734971 74700619 406949929 522904333 2848649503 9359848367 19940546521 65518938569 215276512441 458632569983 1506935587087 10548549109609