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54301375341 = 326121621469
BaseRepresentation
bin110010100100100111…
…010011101101101101
312012011100121200022200
4302210213103231231
51342202123002331
640540134532113
73631432034433
oct624447235555
9165140550280
1054301375341
1121035790004
12a635507039
135174c51235
1428b1ad4d53
15162c2eb5e6
hexca49d3b6d

54301375341 has 18 divisors (see below), whose sum is σ = 79742273130. Its totient is φ = 35607437280.

The previous prime is 54301375309. The next prime is 54301375397. The reversal of 54301375341 is 14357310345.

54301375341 is a `hidden beast` number, since 5 + 4 + 301 + 3 + 7 + 5 + 341 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4674456900 + 49626918441 = 68370^2 + 222771^2 .

It is not a de Polignac number, because 54301375341 - 25 = 54301375309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54301375296 and 54301375305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54301375241) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 777246 + ... + 844223.

It is an arithmetic number, because the mean of its divisors is an integer number (4430126285).

Almost surely, 254301375341 is an apocalyptic number.

It is an amenable number.

54301375341 is a deficient number, since it is larger than the sum of its proper divisors (25440897789).

54301375341 is a wasteful number, since it uses less digits than its factorization.

54301375341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621597 (or 1621533 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 54301375341 its reverse (14357310345), we get a palindrome (68658685686).

The spelling of 54301375341 in words is "fifty-four billion, three hundred one million, three hundred seventy-five thousand, three hundred forty-one".

Divisors: 1 3 9 61 183 549 3721 11163 33489 1621469 4864407 14593221 98909609 296728827 890186481 6033486149 18100458447 54301375341