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742579124857 is a prime number
BaseRepresentation
bin10101100111001010010…
…10100011101001111001
32121222201121122001102021
422303211022203221321
544131300223443412
61325045223434441
7104435542262533
oct12634512435171
92558647561367
10742579124857
11266a20614389
12bbb002b5a21
135504296388b
1427d2623c853
15144b21e9607
hexace52a3a79

742579124857 has 2 divisors, whose sum is σ = 742579124858. Its totient is φ = 742579124856.

The previous prime is 742579124783. The next prime is 742579124879. The reversal of 742579124857 is 758421975247.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 497122294761 + 245456830096 = 705069^2 + 495436^2 .

It is a cyclic number.

It is not a de Polignac number, because 742579124857 - 235 = 708219386489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 742579124795 and 742579124804.

It is not a weakly prime, because it can be changed into another prime (742574124857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 371289562428 + 371289562429.

It is an arithmetic number, because the mean of its divisors is an integer number (371289562429).

Almost surely, 2742579124857 is an apocalyptic number.

It is an amenable number.

742579124857 is a deficient number, since it is larger than the sum of its proper divisors (1).

742579124857 is an equidigital number, since it uses as much as digits as its factorization.

742579124857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39513600, while the sum is 61.

The spelling of 742579124857 in words is "seven hundred forty-two billion, five hundred seventy-nine million, one hundred twenty-four thousand, eight hundred fifty-seven".