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298641483361 = 13212723312
BaseRepresentation
bin1000101100010000110…
…10110110011001100001
31001112211211122020021001
410112020122312121201
514343104204431421
6345105523232001
730401420503414
oct4261032663141
91045754566231
10298641483361
11105720371681
1249a66518601
1322214545c00
141065094bb7b
157b7d2b0691
hex45886b6661

298641483361 has 27 divisors (see below), whose sum is σ = 326935081683. Its totient is φ = 272672159760.

The previous prime is 298641483359. The next prime is 298641483419. The reversal of 298641483361 is 163384146892.

The square root of 298641483361 is 546481.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44177734225 + 254463749136 = 210185^2 + 504444^2 .

It is not a de Polignac number, because 298641483361 - 21 = 298641483359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (298641483961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 902239966 + ... + 902240296.

It is an arithmetic number, because the mean of its divisors is an integer number (12108706729).

Almost surely, 2298641483361 is an apocalyptic number.

298641483361 is the 546481-st square number.

298641483361 is the 273241-st centered octagonal number.

It is an amenable number.

298641483361 is a deficient number, since it is larger than the sum of its proper divisors (28293598322).

298641483361 is an frugal number, since it uses more digits than its factorization.

298641483361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The spelling of 298641483361 in words is "two hundred ninety-eight billion, six hundred forty-one million, four hundred eighty-three thousand, three hundred sixty-one".

Divisors: 1 13 127 169 331 1651 4303 16129 21463 42037 55939 109561 209677 546481 1424293 2725801 5338699 7104253 13914247 18515809 69403087 180885211 902240131 1767109369 2351507743 22972421797 298641483361