Search a number
-
+
4938267111129 = 321173727939901
BaseRepresentation
bin100011111011100011110…
…1010000010111011011001
3122111002112022210110000200
41013313013222002323121
51121402032340024004
614300335242252413
71016530601602242
oct107670752027331
918432468713020
104938267111129
111634342053440
1267909b7b7109
1329a8a4613961
14131028ac9cc9
15886c7cc0239
hex47dc7a82ed9

4938267111129 has 48 divisors (see below), whose sum is σ = 7898966484864. Its totient is φ = 2947827168000.

The previous prime is 4938267111091. The next prime is 4938267111149. The reversal of 4938267111129 is 9211117628394.

4938267111129 is a `hidden beast` number, since 493 + 8 + 26 + 7 + 1 + 1 + 1 + 129 = 666.

It is not a de Polignac number, because 4938267111129 - 221 = 4938265013977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4938267111149) 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, 4784079 + ... + 5723979.

It is an arithmetic number, because the mean of its divisors is an integer number (164561801768).

Almost surely, 24938267111129 is an apocalyptic number.

It is an amenable number.

4938267111129 is a deficient number, since it is larger than the sum of its proper divisors (2960699373735).

4938267111129 is a wasteful number, since it uses less digits than its factorization.

4938267111129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940718 (or 940715 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 4938267111129 in words is "four trillion, nine hundred thirty-eight billion, two hundred sixty-seven million, one hundred eleven thousand, one hundred twenty-nine".

Divisors: 1 3 9 11 33 73 99 219 657 727 803 2181 2409 6543 7227 7997 23991 53071 71973 159213 477639 583781 939901 1751343 2819703 5254029 8459109 10338911 31016733 68612773 93050199 205838319 617514957 683308027 754740503 2049924081 2264221509 6149772243 6792664527 7516388297 22549164891 49881485971 67647494673 149644457913 448933373739 548696345681 1646089037043 4938267111129