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54418524749 is a prime number
BaseRepresentation
bin110010101011100110…
…001100101001001101
312012110112001111002122
4302223212030221031
51342422120242444
640555521502325
73634353554051
oct625346145115
9165415044078
1054418524749
11210959250a6
12a6687a19a5
1351932ba804
1428c34abc61
15163773c4ee
hexcab98ca4d

54418524749 has 2 divisors, whose sum is σ = 54418524750. Its totient is φ = 54418524748.

The previous prime is 54418524707. The next prime is 54418524751. The reversal of 54418524749 is 94742581445.

It is a happy number.

54418524749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52478562724 + 1939962025 = 229082^2 + 44045^2 .

It is a cyclic number.

It is not a de Polignac number, because 54418524749 - 228 = 54150089293 is a prime.

It is a super-2 number, since 2×544185247492 (a number of 22 digits) contains 22 as substring.

Together with 54418524751, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54418524749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54418524779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27209262374 + 27209262375.

It is an arithmetic number, because the mean of its divisors is an integer number (27209262375).

Almost surely, 254418524749 is an apocalyptic number.

It is an amenable number.

54418524749 is a deficient number, since it is larger than the sum of its proper divisors (1).

54418524749 is an equidigital number, since it uses as much as digits as its factorization.

54418524749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6451200, while the sum is 53.

The spelling of 54418524749 in words is "fifty-four billion, four hundred eighteen million, five hundred twenty-four thousand, seven hundred forty-nine".