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297423446748961 = 13213266132
BaseRepresentation
bin100001110100000010100101…
…0111001000010111100100001
31110000002101220101102221100111
41003220011022321002330201
5302440441204331431321
62532322240054051321
7116435064163262461
oct10350051271027441
91400071811387314
10297423446748961
118684a636970725
12294367a6649b41
13c9c5baba01400
14536352ba83ba1
15245b9ee16d5e1
hex10e814ae42f21

297423446748961 has 9 divisors (see below), whose sum is σ = 322062318244089. Its totient is φ = 274544513124336.

The previous prime is 297423446748941. The next prime is 297423446749007. The reversal of 297423446748961 is 169847644324792.

It is a happy number.

The square root of 297423446748961 is 17245969.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6431706838561 + 290991739910400 = 2536081^2 + 17058480^2 .

It is not a de Polignac number, because 297423446748961 - 217 = 297423446617889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (297423446748941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223534291 + ... + 224860903.

It is an arithmetic number, because the mean of its divisors is an integer number (35784702027121).

Almost surely, 2297423446748961 is an apocalyptic number.

297423446748961 is the 17245969-th square number.

297423446748961 is the 8622985-th centered octagonal number.

It is an amenable number.

297423446748961 is a deficient number, since it is larger than the sum of its proper divisors (24638871495128).

297423446748961 is an frugal number, since it uses more digits than its factorization.

297423446748961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653252 (or 1326626 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 76.

The spelling of 297423446748961 in words is "two hundred ninety-seven trillion, four hundred twenty-three billion, four hundred forty-six million, seven hundred forty-eight thousand, nine hundred sixty-one".

Divisors: 1 13 169 1326613 17245969 224197597 1759902051769 22878726672997 297423446748961