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349564028353 is a prime number
BaseRepresentation
bin1010001011000111010…
…00111100010111000001
31020102021201101112200221
411011203220330113001
521211401342401403
6424330522143041
734153344133621
oct5054350742701
91212251345627
10349564028353
11125281865401
12578b8351a81
1326c6b473c37
1412cc19c6881
15915db36dbd
hex5163a3c5c1

349564028353 has 2 divisors, whose sum is σ = 349564028354. Its totient is φ = 349564028352.

The previous prime is 349564028347. The next prime is 349564028357. The reversal of 349564028353 is 353820465943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335036065329 + 14527963024 = 578823^2 + 120532^2 .

It is a cyclic number.

It is not a de Polignac number, because 349564028353 - 25 = 349564028321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 349564028353.

It is not a weakly prime, because it can be changed into another prime (349564028357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174782014176 + 174782014177.

It is an arithmetic number, because the mean of its divisors is an integer number (174782014177).

Almost surely, 2349564028353 is an apocalyptic number.

It is an amenable number.

349564028353 is a deficient number, since it is larger than the sum of its proper divisors (1).

349564028353 is an equidigital number, since it uses as much as digits as its factorization.

349564028353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 349564028353 in words is "three hundred forty-nine billion, five hundred sixty-four million, twenty-eight thousand, three hundred fifty-three".