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523331242133325 = 352173733732918107
BaseRepresentation
bin111011011111101111000110…
…0110010011000011101001101
32112121221222102001211021020120
41312333132030302120131031
51022043224340441231300
65053011015331535153
7215142302020065123
oct16677361462303515
92477858361737216
10523331242133325
11141827595a6aa7a
124a84112615a4b9
1319601c02b25332
14933351dad7913
1540780a73703a0
hex1dbf78cc9874d

523331242133325 has 96 divisors (see below), whose sum is σ = 943689999867264. Its totient is φ = 254833542512640.

The previous prime is 523331242133311. The next prime is 523331242133423.

523331242133325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523331242133325 - 24 = 523331242133309 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 561079 + ... + 32357028.

It is an arithmetic number, because the mean of its divisors is an integer number (9830104165284).

Almost surely, 2523331242133325 is an apocalyptic number.

It is an amenable number.

523331242133325 is a deficient number, since it is larger than the sum of its proper divisors (420358757733939).

523331242133325 is a wasteful number, since it uses less digits than its factorization.

523331242133325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32918511 (or 32918506 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

The spelling of 523331242133325 in words is "five hundred twenty-three trillion, three hundred thirty-one billion, two hundred forty-two million, one hundred thirty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 37 51 75 85 111 185 255 337 425 555 629 925 1011 1275 1685 1887 2775 3145 5055 5729 8425 9435 12469 15725 17187 25275 28645 37407 47175 62345 85935 143225 187035 211973 311725 429675 635919 935175 1059865 3179595 5299325 15897975 32918107 98754321 164590535 493771605 559607819 822952675 1217969959 1678823457 2468858025 2798039095 3653909877 6089849795 8394117285 11093402059 13990195475 18269549385 20705489303 30449248975 33280206177 41970586425 55467010295 62116467909 91347746925 103527446515 166401030885 188587835003 277335051475 310582339545 410455876183 517637232575 565763505009 832005154425 942939175015 1231367628549 1552911697725 2052279380915 2828817525045 4714695875075 6156838142745 6977749895111 10261396904575 14144087625225 20933249685333 30784190713725 34888749475555 104666248426665 174443747377775 523331242133325