Search a number
-
+
53541794881 = 2927921012
BaseRepresentation
bin110001110111010101…
…101111010001000001
312010012102022222211001
4301313111233101001
51334123144414011
640332522252001
73603546514231
oct616725572101
9163172288731
1053541794881
1120785a46a63
12a463057001
135083780b43
14283cc8bcc1
1515d57aa7c1
hexc7756f441

53541794881 has 27 divisors (see below), whose sum is σ = 56724104073. Its totient is φ = 50535794400.

The previous prime is 53541794861. The next prime is 53541794897. The reversal of 53541794881 is 18849714535.

The square root of 53541794881 is 231391.

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 17593634881 + 35948160000 = 132641^2 + 189600^2 .

It is not a de Polignac number, because 53541794881 - 25 = 53541794849 is a prime.

It is a super-2 number, since 2×535417948812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53541794851) 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, 530116731 + ... + 530116831.

Almost surely, 253541794881 is an apocalyptic number.

53541794881 is the 231391-st square number.

53541794881 is the 115696-th centered octagonal number.

It is an amenable number.

53541794881 is a deficient number, since it is larger than the sum of its proper divisors (3182309192).

53541794881 is an frugal number, since it uses more digits than its factorization.

53541794881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 55.

The spelling of 53541794881 in words is "fifty-three billion, five hundred forty-one million, seven hundred ninety-four thousand, eight hundred eighty-one".

Divisors: 1 29 79 101 841 2291 2929 6241 7979 10201 66439 84941 180989 231391 295829 630341 805879 5248681 6710339 8579041 18279889 23370491 63664441 530116781 677744239 1846268789 53541794881