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5133211536141 = 3313172337402901
BaseRepresentation
bin100101010110010101101…
…0000000000101100001101
3200011201201100010022102000
41022230223100000230031
51133100304123124031
614530055334022513
71036601524064463
oct112545320005415
920151640108360
105133211536141
1116a9a8a0a9297
126aaa261a7a39
132b30a1416430
1413a63d5a0833
158d7d74b13e6
hex4ab2b400b0d

5133211536141 has 64 divisors (see below), whose sum is σ = 9048510051840. Its totient is φ = 2843817292800.

The previous prime is 5133211536113. The next prime is 5133211536157. The reversal of 5133211536141 is 1416351123315.

5133211536141 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 21 + 15 + 3 + 614 + 1 = 666.

It is not a de Polignac number, because 5133211536141 - 25 = 5133211536109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5133211536096 and 5133211536105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133211536191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18564210 + ... + 18838691.

It is an arithmetic number, because the mean of its divisors is an integer number (141382969560).

Almost surely, 25133211536141 is an apocalyptic number.

5133211536141 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5133211536141 is a deficient number, since it is larger than the sum of its proper divisors (3915298515699).

5133211536141 is a wasteful number, since it uses less digits than its factorization.

5133211536141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37402963 (or 37402957 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

Adding to 5133211536141 its reverse (1416351123315), we get a palindrome (6549562659456).

The spelling of 5133211536141 in words is "five trillion, one hundred thirty-three billion, two hundred eleven million, five hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 3 9 13 17 23 27 39 51 69 117 153 207 221 299 351 391 459 621 663 897 1173 1989 2691 3519 5083 5967 8073 10557 15249 45747 137241 37402901 112208703 336626109 486237713 635849317 860266723 1009878327 1458713139 1907547951 2580800169 4376139417 5722643853 7742400507 8266041121 11183467399 13128418251 14624534291 17167931559 23227201521 24798123363 33550402197 43873602873 74394370089 100651206591 131620808619 190118945783 223183110267 301953619773 394862425857 570356837349 1711070512047 5133211536141