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71533738341 = 32138917339709
BaseRepresentation
bin100001010011110111…
…1100011100101100101
320211122022100102100100
41002213233203211211
52133000114111331
652510120134313
75111446513002
oct1024757434545
9224568312310
1071533738341
1128378a2641a
1211a44607399
136990120330
1436685bc8a9
151cda0c1ae6
hex10a7be3965

71533738341 has 48 divisors (see below), whose sum is σ = 113178265200. Its totient is φ = 43273460736.

The previous prime is 71533738333. The next prime is 71533738387. The reversal of 71533738341 is 14383733517.

71533738341 is a `hidden beast` number, since 7 + 1 + 533 + 73 + 8 + 3 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1032336900 + 70501401441 = 32130^2 + 265521^2 .

It is not a de Polignac number, because 71533738341 - 23 = 71533738333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71533736341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781595 + ... + 1821303.

It is an arithmetic number, because the mean of its divisors is an integer number (2357880525).

Almost surely, 271533738341 is an apocalyptic number.

It is an amenable number.

71533738341 is a deficient number, since it is larger than the sum of its proper divisors (41644526859).

71533738341 is a wasteful number, since it uses less digits than its factorization.

71533738341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39990 (or 39987 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 71533738341 in words is "seventy-one billion, five hundred thirty-three million, seven hundred thirty-eight thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 89 117 173 267 519 801 1157 1557 2249 3471 6747 10413 15397 20241 39709 46191 119127 138573 200161 357381 516217 600483 1548651 1801449 3534101 4645953 6869657 10602303 20608971 31806909 45943313 61826913 89305541 137829939 267916623 413489817 611399473 803749869 1834198419 5502595257 7948193149 23844579447 71533738341