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52144515135 = 32519271313719
BaseRepresentation
bin110000100100000011…
…100010100000111111
311222121001002211100100
4300210003202200333
51323242443441020
635542125532143
73524122031316
oct604403424077
9158531084310
1052144515135
1120129246009
12a133114053
134bc01455ab
14274948727d
151552ca1a90
hexc240e283f

52144515135 has 96 divisors (see below), whose sum is σ = 95930265600. Its totient is φ = 26129226240.

The previous prime is 52144515133. The next prime is 52144515197. The reversal of 52144515135 is 53151544125.

52144515135 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 4 + 515 + 135 = 666.

It is not a de Polignac number, because 52144515135 - 21 = 52144515133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52144515135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52144515131) 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, 72523306 + ... + 72524024.

It is an arithmetic number, because the mean of its divisors is an integer number (999273600).

Almost surely, 252144515135 is an apocalyptic number.

52144515135 is a deficient number, since it is larger than the sum of its proper divisors (43785750465).

52144515135 is a wasteful number, since it uses less digits than its factorization.

52144515135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1330 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The spelling of 52144515135 in words is "fifty-two billion, one hundred forty-four million, five hundred fifteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 271 285 313 719 813 855 939 1355 1565 2157 2439 2817 3595 4065 4695 5149 5947 6471 10785 12195 13661 14085 15447 17841 25745 29735 32355 40983 46341 53523 68305 77235 84823 89205 122949 194849 204915 225047 231705 254469 267615 424115 584547 614745 675141 763407 974245 1125235 1272345 1611637 1753641 2025423 2922735 3375705 3702131 3817035 4275893 4834911 8058185 8768205 10127115 11106393 12827679 14504733 18510655 21379465 24174555 33319179 38483037 55531965 60987737 64138395 72523665 166595895 182963211 192415185 304938685 548889633 914816055 1158767003 2744448165 3476301009 5793835015 10428903027 17381505045 52144515135