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34491624253 is a prime number
BaseRepresentation
bin100000000111110111…
…000110101100111101
310022000210002001111221
4200013313012230331
51031114323434003
623502323113341
72330506653202
oct400767065475
9108023061457
1034491624253
111369a693899
126827212851
133338ac8428
141952bb3ca9
15d6d1107bd
hex807dc6b3d

34491624253 has 2 divisors, whose sum is σ = 34491624254. Its totient is φ = 34491624252.

The previous prime is 34491624229. The next prime is 34491624287. The reversal of 34491624253 is 35242619443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21049076889 + 13442547364 = 145083^2 + 115942^2 .

It is a cyclic number.

It is not a de Polignac number, because 34491624253 - 217 = 34491493181 is a prime.

It is a super-2 number, since 2×344916242532 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34491625253) 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 as a sum of consecutive naturals, namely, 17245812126 + 17245812127.

It is an arithmetic number, because the mean of its divisors is an integer number (17245812127).

Almost surely, 234491624253 is an apocalyptic number.

It is an amenable number.

34491624253 is a deficient number, since it is larger than the sum of its proper divisors (1).

34491624253 is an equidigital number, since it uses as much as digits as its factorization.

34491624253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 622080, while the sum is 43.

The spelling of 34491624253 in words is "thirty-four billion, four hundred ninety-one million, six hundred twenty-four thousand, two hundred fifty-three".