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5113129455729 = 368929412
BaseRepresentation
bin100101001100111111001…
…0000111101000001110001
3200002210212210010221000000
41022121332100331001301
51132233142120040404
614512534513220213
71035261054161211
oct112317620750161
920083783127000
105113129455729
1116a1514308019
126a6b60861669
132b1220a30509
14139696430241
158d00e430339
hex4a67e43d071

5113129455729 has 63 divisors (see below), whose sum is σ = 7761540175729. Its totient is φ = 3366870598080.

The previous prime is 5113129455727. The next prime is 5113129455739. The reversal of 5113129455729 is 9275549213115.

The square root of 5113129455729 is 2261223.

It is a perfect power (a square), and thus also a powerful number.

5113129455729 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 1 + 29 + 45 + 572 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 223281765729 + 4889847690000 = 472527^2 + 2211300^2 .

It is not a de Polignac number, because 5113129455729 - 21 = 5113129455727 is a prime.

It is a super-2 number, since 2×51131294557292 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5113129455727) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5433718399 + ... + 5433719339.

Almost surely, 25113129455729 is an apocalyptic number.

5113129455729 is the 2261223-rd square number.

5113129455729 is the 1130612-nd centered octagonal number.

It is an amenable number.

5113129455729 is a deficient number, since it is larger than the sum of its proper divisors (2648410720000).

5113129455729 is an frugal number, since it uses more digits than its factorization.

5113129455729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 1033 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 5113129455729 in words is "five trillion, one hundred thirteen billion, one hundred twenty-nine million, four hundred fifty-five thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 89 243 267 729 801 941 2403 2823 7209 7921 8469 21627 23763 25407 64881 71289 76221 83749 213867 228663 251247 641601 685989 753741 885481 1924803 2261223 2656443 5774409 6783669 7453661 7969329 20351007 22360983 23907987 61053021 67082949 71723961 78807809 201248847 215171883 236423427 603746541 645515649 709270281 1811239623 2127810843 5433718869 6383432529 7013895001 19150297587 21041685003 57450892761 63125055009 189375165027 568125495081 1704376485243 5113129455729