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34251334225 = 522114964781
BaseRepresentation
bin11111111001100010…
…011110001001010001
310021102000221001120021
4133321202132021101
51030121320143400
623422420543441
72321531352163
oct377142361121
9107360831507
1034251334225
1113586a92399
12677a851b81
1332cb0a5594
14192cd04933
15d56e9871a
hex7f989e251

34251334225 has 12 divisors (see below), whose sum is σ = 42474318300. Its totient is φ = 27399348800.

The previous prime is 34251334223. The next prime is 34251334237. The reversal of 34251334225 is 52243315243.

It can be written as a sum of positive squares in 6 ways, for example, as 5779496529 + 28471837696 = 76023^2 + 168736^2 .

It is not a de Polignac number, because 34251334225 - 21 = 34251334223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34251334223) 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 11 ways as a sum of consecutive naturals, for example, 496335 + ... + 561115.

It is an arithmetic number, because the mean of its divisors is an integer number (3539526525).

Almost surely, 234251334225 is an apocalyptic number.

It is an amenable number.

34251334225 is a deficient number, since it is larger than the sum of its proper divisors (8222984075).

34251334225 is a wasteful number, since it uses less digits than its factorization.

34251334225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85940 (or 85935 counting only the distinct ones).

The product of its digits is 86400, while the sum is 34.

Adding to 34251334225 its reverse (52243315243), we get a palindrome (86494649468).

The spelling of 34251334225 in words is "thirty-four billion, two hundred fifty-one million, three hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 21149 64781 105745 323905 528725 1619525 1370053369 6850266845 34251334225