Search a number
-
+
713773152441 = 337327124931
BaseRepresentation
bin10100110001100000011…
…00011111100010111001
32112020101002010000222000
422120300030133202321
543143301411334231
61303523003451213
7102365651455626
oct12306014374271
92466332100860
10713773152441
11255789377a08
12b6401226b09
1352401a8169b
142679260b34d
151387832b6e6
hexa63031f8b9

713773152441 has 48 divisors (see below), whose sum is σ = 1076115447360. Its totient is φ = 467503617600.

The previous prime is 713773152409. The next prime is 713773152451. The reversal of 713773152441 is 144251377317.

713773152441 is a `hidden beast` number, since 7 + 1 + 377 + 31 + 5 + 244 + 1 = 666.

It is not a de Polignac number, because 713773152441 - 25 = 713773152409 is a prime.

It is a super-2 number, since 2×7137731524412 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (713773152451) 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 47 ways as a sum of consecutive naturals, for example, 144749746 + ... + 144754676.

It is an arithmetic number, because the mean of its divisors is an integer number (22419071820).

Almost surely, 2713773152441 is an apocalyptic number.

It is an amenable number.

713773152441 is a deficient number, since it is larger than the sum of its proper divisors (362342294919).

713773152441 is an equidigital number, since it uses as much as digits as its factorization.

713773152441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5278 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 713773152441 in words is "seven hundred thirteen billion, seven hundred seventy-three million, one hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 73 219 271 657 813 1971 2439 4931 7317 14793 19783 44379 59349 73441 133137 178047 220323 359963 534141 660969 1079889 1336301 1982907 3239667 4008903 5361193 9719001 12026709 16083579 36080127 48250737 97549973 144752211 292649919 362137571 877949757 1086412713 2633849271 3259238139 9777714417 26436042683 79308128049 237924384147 713773152441