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13534162425 = 345271396869
BaseRepresentation
bin11001001101011001…
…01110110111111001
31021221012220200120000
430212230232313321
5210204221144200
610114552023213
7656250324330
oct144654566771
937835820500
1013534162425
115815755603
122758691b09
131378c58544
14925694d17
155432b7300
hex326b2edf9

13534162425 has 120 divisors (see below), whose sum is σ = 28861694400. Its totient is φ = 6141640320.

The previous prime is 13534162423. The next prime is 13534162471. The reversal of 13534162425 is 52426143531.

13534162425 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 1 + 624 + 25 = 666.

It is not a de Polignac number, because 13534162425 - 21 = 13534162423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13534162425.

It is not an unprimeable number, because it can be changed into a prime (13534162423) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1966891 + ... + 1973759.

It is an arithmetic number, because the mean of its divisors is an integer number (240514120).

Almost surely, 213534162425 is an apocalyptic number.

13534162425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13534162425 is an abundant number, since it is smaller than the sum of its proper divisors (15327531975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13534162425 is a wasteful number, since it uses less digits than its factorization.

13534162425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7023 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 13534162425 in words is "thirteen billion, five hundred thirty-four million, one hundred sixty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 139 175 189 225 315 405 417 525 567 675 695 945 973 1251 1575 2025 2085 2835 2919 3475 3753 4725 4865 6255 6869 8757 10425 11259 14175 14595 18765 20607 24325 26271 31275 34345 43785 48083 56295 61821 72975 78813 93825 103035 131355 144249 171725 185463 218925 240415 281475 309105 394065 432747 515175 556389 656775 721245 927315 954791 1202075 1298241 1545525 1970325 2163735 2781945 2864373 3606225 3894723 4636575 4773955 6491205 6683537 8593119 10818675 13909725 14321865 19473615 20050611 23869775 25779357 32456025 33417685 42965595 60151833 71609325 77338071 97368075 100253055 128896785 167088425 180455499 214827975 300759165 386690355 501265275 541366497 644483925 902277495 1503795825 1933451775 2706832485 4511387475 13534162425