Search a number
-
+
260874756081 = 36189172
BaseRepresentation
bin1111001011110101011…
…0001101111111110001
3220221100210212201000000
43302331112031333301
513233232414143311
6315502203220213
724563501560662
oct3627526157761
9827323781000
10260874756081
11a06aaaa9475
1242686517669
131b7a60747c4
14c8aabdd369
156bbc8b9056
hex3cbd58dff1

260874756081 has 21 divisors (see below), whose sum is σ = 391153885051. Its totient is φ = 173907310392.

The previous prime is 260874756049. The next prime is 260874756127. The reversal of 260874756081 is 180657478062.

The square root of 260874756081 is 510759.

It is a perfect power (a square), and thus also a powerful number.

260874756081 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 74 + 7 + 560 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210557088225 + 50317667856 = 458865^2 + 224316^2 .

It is not a de Polignac number, because 260874756081 - 25 = 260874756049 is a prime.

It is a super-2 number, since 2×2608747560812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (260874756281) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 13781035 + ... + 13799951.

Almost surely, 2260874756081 is an apocalyptic number.

260874756081 is the 510759-th square number.

260874756081 is the 255380-th centered octagonal number.

It is an amenable number.

260874756081 is a deficient number, since it is larger than the sum of its proper divisors (130279128970).

260874756081 is an frugal number, since it uses more digits than its factorization.

260874756081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37852 (or 18920 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 260874756081 in words is "two hundred sixty billion, eight hundred seventy-four million, seven hundred fifty-six thousand, eighty-one".

Divisors: 1 3 9 27 81 243 729 18917 56751 170253 510759 1532277 4596831 13790493 357852889 1073558667 3220676001 9662028003 28986084009 86958252027 260874756081