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133465278241 = 5326121132
BaseRepresentation
bin111110001001100100…
…1101000011100100001
3110202111102110121201101
41330103021220130201
54141314102400431
6141151344034401
712433252101241
oct1742311503441
9422442417641
10133465278241
1151669740a49
1221a49302a01
13c77caa4c29
1466617c9b21
1537121b2961
hex1f13268721

133465278241 has 27 divisors (see below), whose sum is σ = 139532281707. Its totient is φ = 127660565760.

The previous prime is 133465278239. The next prime is 133465278253. The reversal of 133465278241 is 142872564331.

The square root of 133465278241 is 365329.

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

It can be written as a sum of positive squares in 13 ways, for example, as 125791518241 + 7673760000 = 354671^2 + 87600^2 .

It is not a de Polignac number, because 133465278241 - 21 = 133465278239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133465278191 and 133465278200.

It is not an unprimeable number, because it can be changed into a prime (133465278211) 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, 1181108601 + ... + 1181108713.

Almost surely, 2133465278241 is an apocalyptic number.

133465278241 is the 365329-th square number.

133465278241 is the 182665-th centered octagonal number.

It is an amenable number.

133465278241 is a deficient number, since it is larger than the sum of its proper divisors (6067003466).

133465278241 is an frugal number, since it uses more digits than its factorization.

With its predecessor (133465278240) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (454).

133465278241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The spelling of 133465278241 in words is "one hundred thirty-three billion, four hundred sixty-five million, two hundred seventy-eight thousand, two hundred forty-one".

Divisors: 1 53 61 113 2809 3233 3721 5989 6893 12769 171349 197213 317417 365329 420473 676757 778909 10452289 19362437 22285069 35868121 41282177 47513449 1181108657 2187955381 2518212797 133465278241