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12433437627663 = 3132358739316007
BaseRepresentation
bin1011010011101110001010…
…1000100001010100001111
31122000121212122102221210110
42310323202220201110033
53112202140013041123
642235501542411103
72422200114034323
oct264734250412417
948017778387713
1012433437627663
113a63a9a446828
121489825130a93
136c2611661910
1430dad298d983
1516865012e493
hexb4ee2a2150f

12433437627663 has 64 divisors (see below), whose sum is σ = 18668955820032. Its totient is φ = 7303136480640.

The previous prime is 12433437627661. The next prime is 12433437627673. The reversal of 12433437627663 is 36672673433421.

It is a Cunningham number, because it is equal to 35261082-1.

It is not a de Polignac number, because 12433437627663 - 21 = 12433437627661 is a prime.

It is a super-2 number, since 2×124334376276632 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433437627661) 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, 2069821806 + ... + 2069827812.

It is an arithmetic number, because the mean of its divisors is an integer number (291702434688).

Almost surely, 212433437627663 is an apocalyptic number.

12433437627663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12433437627663 is a deficient number, since it is larger than the sum of its proper divisors (6235518192369).

12433437627663 is a wasteful number, since it uses less digits than its factorization.

12433437627663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564.

The product of its digits is 54867456, while the sum is 57.

The spelling of 12433437627663 in words is "twelve trillion, four hundred thirty-three billion, four hundred thirty-seven million, six hundred twenty-seven thousand, six hundred sixty-three".

Divisors: 1 3 13 23 39 69 299 587 897 1761 3931 6007 7631 11793 13501 18021 22893 40503 51103 78091 90413 138161 153309 175513 234273 271239 414483 526539 1175369 1796093 2307497 3526107 3526109 5388279 6922491 10578327 23613517 29997461 45839417 53072431 70840551 81100507 89992383 137518251 159217293 243301521 306975721 543110891 689941603 920927163 1054306591 1629332673 2069824809 3162919773 7060441583 13861134479 21181324749 41583403437 180194748227 318806093017 540584244681 956418279051 4144479209221 12433437627663