Search a number
-
+
12272312777777 = 13414317328310937
BaseRepresentation
bin1011001010010101111011…
…0101111111110000110001
31121110012222120121111211122
42302211132311333300301
53102032144032342102
642033453405552025
72404434231306353
oct262453665776061
947405876544748
1012272312777777
113a01727696268
121462558875615
136b0374353560
14305da990d0d3
1516436ea4d0a2
hexb295ed7fc31

12272312777777 has 64 divisors (see below), whose sum is σ = 13984131845376. Its totient is φ = 10693665239040.

The previous prime is 12272312777771. The next prime is 12272312777801. The reversal of 12272312777777 is 77777721327221.

It is not a de Polignac number, because 12272312777777 - 28 = 12272312777521 is a prime.

It is a super-3 number, since 3×122723127777773 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12272312777771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122085853 + ... + 1122096789.

It is an arithmetic number, because the mean of its divisors is an integer number (218502060084).

Almost surely, 212272312777777 is an apocalyptic number.

It is an amenable number.

12272312777777 is a deficient number, since it is larger than the sum of its proper divisors (1711819067599).

12272312777777 is a wasteful number, since it uses less digits than its factorization.

12272312777777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11490.

The product of its digits is 39530064, while the sum is 62.

The spelling of 12272312777777 in words is "twelve trillion, two hundred seventy-two billion, three hundred twelve million, seven hundred seventy-seven thousand, seven hundred seventy-seven".

Divisors: 1 13 41 43 173 283 533 559 1763 2249 3679 7093 7439 10937 11603 12169 22919 48959 92209 96707 142181 150839 158197 304999 448417 470291 498929 636467 1892101 2007319 2105237 3095171 3964987 5829421 6113783 6486077 19281931 24597313 26095147 27368081 40237223 77576141 81360343 86314717 126902011 133092353 250665103 535464583 1008489833 1057684459 1122091321 1649726143 1730200589 3335774063 5456786473 6961039579 21954047903 23024977069 43365062819 70938224149 285402622739 299324701897 944024059829 12272312777777