Search a number
-
+
12114554535513 = 35478219411373
BaseRepresentation
bin1011000001001010001110…
…1110000011111001011001
31120220010210010122110100000
42300102203232003321121
53041441101430114023
641433203255203213
72360150645341113
oct260224356037131
946803703573300
1012114554535513
113950832233951
121437a6b976509
1369b522678c01
142dc4c1a263b3
151601d9cca243
hexb04a3b83e59

12114554535513 has 96 divisors (see below), whose sum is σ = 18588830787072. Its totient is φ = 7880770195200.

The previous prime is 12114554535481. The next prime is 12114554535529. The reversal of 12114554535513 is 31553545541121.

12114554535513 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 55 + 45 + 3 + 551 + 3 = 666.

It is not a de Polignac number, because 12114554535513 - 25 = 12114554535481 is a prime.

It is a super-3 number, since 3×121145545355133 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12114554535593) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8823418495 + ... + 8823419867.

It is an arithmetic number, because the mean of its divisors is an integer number (193633654032).

Almost surely, 212114554535513 is an apocalyptic number.

It is an amenable number.

12114554535513 is a deficient number, since it is larger than the sum of its proper divisors (6474276251559).

12114554535513 is an equidigital number, since it uses as much as digits as its factorization.

12114554535513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3185 counting only the distinct ones).

The product of its digits is 900000, while the sum is 45.

The spelling of 12114554535513 in words is "twelve trillion, one hundred fourteen billion, five hundred fifty-four million, five hundred thirty-five thousand, five hundred thirteen".

Divisors: 1 3 9 27 47 81 141 243 423 821 941 1269 1373 2463 2823 3807 4119 7389 8469 11421 12357 22167 25407 37071 38587 44227 64531 66501 76221 111213 115761 132681 193593 199503 228663 333639 347283 398043 580779 772561 1041849 1127233 1194129 1291993 1742337 2317683 3125547 3381699 3582387 3875979 5227011 6953049 9376641 10145097 10747161 11627937 15681033 20859147 30435291 34883811 36310367 52979951 60723671 62577441 91305873 104651433 108931101 158939853 182171013 187732323 273917619 313954299 326793303 476819559 546513039 980379909 1060726253 1430458677 1639539117 2941139727 3182178759 4291376031 4918617351 8823419181 9546536277 12874128093 14755852053 28639608831 49854133891 85918826493 149562401673 257756479479 448687205019 1346061615057 4038184845171 12114554535513