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54742428841 = 172137632
BaseRepresentation
bin110010111110111001…
…110010110010101001
312020022002112111222111
4302332321302302221
51344103030210331
641052012122321
73645365652622
oct627671626251
9166262474874
1054742428841
1121241746031
12a7391663a1
135215437a39
142914504a49
151655dbddb1
hexcbee72ca9

54742428841 has 9 divisors (see below), whose sum is σ = 58156217431. Its totient is φ = 51518542432.

The previous prime is 54742428821. The next prime is 54742428877. The reversal of 54742428841 is 14882424745.

The square root of 54742428841 is 233971.

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., 42619538025 + 12122890816 = 206445^2 + 110104^2 .

It is not a de Polignac number, because 54742428841 - 25 = 54742428809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54742428821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3970626 + ... + 3984388.

Almost surely, 254742428841 is an apocalyptic number.

54742428841 is the 233971-st square number.

54742428841 is the 116986-th centered octagonal number.

It is an amenable number.

54742428841 is a deficient number, since it is larger than the sum of its proper divisors (3413788590).

54742428841 is an frugal number, since it uses more digits than its factorization.

54742428841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27560 (or 13780 counting only the distinct ones).

The product of its digits is 2293760, while the sum is 49.

Multiplying 54742428841 by its sum of digits (49), we get a square (2682379013209 = 16377972).

The spelling of 54742428841 in words is "fifty-four billion, seven hundred forty-two million, four hundred twenty-eight thousand, eight hundred forty-one".

Divisors: 1 17 289 13763 233971 3977507 189420169 3220142873 54742428841