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71373931281 = 321924321092
BaseRepresentation
bin100001001111000110…
…1111100001100010001
320211020011122101021100
41002132031330030101
52132133211300111
652442211015013
75104466256132
oct1023615741421
9224204571240
1071373931281
11282a67a5a74
12119bab9a469
136965c99643
14365129dc89
151ccb056756
hex109e37c311

71373931281 has 81 divisors (see below), whose sum is σ = 112427963739. Its totient is φ = 43625996064.

The previous prime is 71373931201. The next prime is 71373931303. The reversal of 71373931281 is 18213937317.

The square root of 71373931281 is 267159.

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

71373931281 is a `hidden beast` number, since 7 + 137 + 393 + 128 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49747287681 + 21626643600 = 223041^2 + 147060^2 .

It is not a de Polignac number, because 71373931281 - 223 = 71365542673 is a prime.

It is a super-2 number, since 2×713739312812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71373931201) 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 80 ways as a sum of consecutive naturals, for example, 654806655 + ... + 654806763.

Almost surely, 271373931281 is an apocalyptic number.

71373931281 is the 267159-th square number.

71373931281 is the 133580-th centered octagonal number.

It is an amenable number.

71373931281 is a deficient number, since it is larger than the sum of its proper divisors (41054032458).

71373931281 is a wasteful number, since it uses less digits than its factorization.

71373931281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 71373931281 in words is "seventy-one billion, three hundred seventy-three million, nine hundred thirty-one thousand, two hundred eighty-one".

Divisors: 1 3 9 19 43 57 109 129 171 327 361 387 817 981 1083 1849 2071 2451 3249 4687 5547 6213 7353 11881 14061 15523 16641 18639 35131 35643 39349 42183 46569 89053 105393 106929 118047 139707 201541 225739 267159 316179 354141 510883 604623 667489 677217 801477 1532649 1692007 1813869 2002467 2031651 3829279 4289041 4597947 5076021 6007401 9706777 11487837 12867123 15228063 21967969 29120331 34463511 38601369 65903907 72756301 87360993 184428763 197711721 218268903 417391411 553286289 654806709 1252174233 1659858867 3756522699 7930436809 23791310427 71373931281