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5183786364849 = 341722326472
BaseRepresentation
bin100101101101111000110…
…1111101010111110110001
3200100120020222120210210000
41023123301233222332301
51134412343302133344
615005222032100213
71043342026041621
oct113336157527661
920316228523700
105183786364849
111719482297694
126b879b694669
132b7aa12aa891
1413cc7a3a4881
158ec97550a69
hex4b6f1beafb1

5183786364849 has 135 divisors (see below), whose sum is σ = 8612499297787. Its totient is φ = 3106347083136.

The previous prime is 5183786364847. The next prime is 5183786364851. The reversal of 5183786364849 is 9484636873815.

The square root of 5183786364849 is 2276793.

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

5183786364849 is a `hidden beast` number, since 5 + 1 + 8 + 37 + 86 + 36 + 484 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (5183786364847) and next prime (5183786364851).

It can be written as a sum of positive squares in only one way, i.e., 4035819834225 + 1147966530624 = 2008935^2 + 1071432^2 .

It is not a de Polignac number, because 5183786364849 - 21 = 5183786364847 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5183786364847) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8012034244 + ... + 8012034890.

Almost surely, 25183786364849 is an apocalyptic number.

5183786364849 is the 2276793-rd square number.

5183786364849 is the 1138397-th centered octagonal number.

It is an amenable number.

5183786364849 is a deficient number, since it is larger than the sum of its proper divisors (3428712932938).

5183786364849 is an frugal number, since it uses more digits than its factorization.

5183786364849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 690 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 5183786364849 in words is "five trillion, one hundred eighty-three billion, seven hundred eighty-six million, three hundred sixty-four thousand, eight hundred forty-nine".

Divisors: 1 3 9 17 23 27 51 69 81 153 207 289 391 459 529 621 647 867 1173 1377 1587 1863 1941 2601 3519 4761 5823 6647 7803 8993 10557 10999 14283 14881 17469 19941 23409 26979 31671 32997 42849 44643 52407 59823 80937 98991 133929 152881 179469 186983 242811 252977 296973 342263 401787 418609 458643 538407 560949 728433 758931 890919 1026789 1205361 1255827 1375929 1682847 2276793 3080367 3767481 4127787 4300609 5048541 5818471 6830379 7116353 9241101 9628007 11302443 12383361 12901827 15145623 17455413 20491137 21349059 27723303 28884021 33907329 38705481 52366239 64047177 86652063 98914007 116116443 120978001 157098717 163676119 192141531 221444161 259956189 296742021 348349329 362934003 471296151 491028357 576424593 664332483 779868567 890226063 1088802009 1473085071 1992997449 2670678189 2782494023 3266406027 3764550737 4419255213 5978992347 8012034567 8347482069 9799218081 11293652211 13257765639 17936977041 25042446207 33880956633 63997362529 75127338621 101642869899 191992087587 225382015863 304928609697 575976262761 1727928788283 5183786364849