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268003971481 = 401212912
BaseRepresentation
bin1111100110011001001…
…0000001000110011001
3221121202122202100222211
43321212102001012121
513342333004041411
6323041435115121
725235250112351
oct3714622010631
9847678670884
10268003971481
11a3729289524
1243b35ba2aa1
131c37108005c
14cd85993b61
156e88709221
hex3e66481199

268003971481 has 9 divisors (see below), whose sum is σ = 268882251519. Its totient is φ = 267128556000.

The previous prime is 268003971467. The next prime is 268003971491. The reversal of 268003971481 is 184179300862.

The square root of 268003971481 is 517691.

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., 265337281881 + 2666689600 = 515109^2 + 51640^2 .

It is not a de Polignac number, because 268003971481 - 223 = 267995582873 is a prime.

It is a super-2 number, since 2×2680039714812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268003971491) 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 8 ways as a sum of consecutive naturals, for example, 207593446 + ... + 207594736.

Almost surely, 2268003971481 is an apocalyptic number.

268003971481 is the 517691-st square number.

268003971481 is the 258846-th centered octagonal number.

It is an amenable number.

268003971481 is a deficient number, since it is larger than the sum of its proper divisors (878280038).

268003971481 is an frugal number, since it uses more digits than its factorization.

268003971481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 268003971481 by its sum of digits (49), we get a square (13132194602569 = 36238372).

The spelling of 268003971481 in words is "two hundred sixty-eight billion, three million, nine hundred seventy-one thousand, four hundred eighty-one".

Divisors: 1 401 1291 160801 517691 1666681 207594091 668339081 268003971481