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505203143525 = 52109619729917
BaseRepresentation
bin1110101101000000111…
…01000011001101100101
31210022000110211210022222
413112200131003031211
531234124001043100
61024030452402125
751333255603113
oct7264035031545
91708013753288
10505203143525
1118528a005213
1281ab3616345
13388430c4722
141a648284ab3
15d21c815485
hex75a0743365

505203143525 has 24 divisors (see below), whose sum is σ = 632322315240. Its totient is φ = 400376597760.

The previous prime is 505203143519. The next prime is 505203143561. The reversal of 505203143525 is 525341302505.

It can be written as a sum of positive squares in 12 ways, for example, as 29830125796 + 475373017729 = 172714^2 + 689473^2 .

It is not a de Polignac number, because 505203143525 - 222 = 505198949221 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16871867 + ... + 16901783.

It is an arithmetic number, because the mean of its divisors is an integer number (26346763135).

Almost surely, 2505203143525 is an apocalyptic number.

It is an amenable number.

505203143525 is a deficient number, since it is larger than the sum of its proper divisors (127119171715).

505203143525 is a wasteful number, since it uses less digits than its factorization.

505203143525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36233 (or 36228 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 505203143525 in words is "five hundred five billion, two hundred three million, one hundred forty-three thousand, five hundred twenty-five".

Divisors: 1 5 25 109 545 2725 6197 29917 30985 149585 154925 675473 747925 3260953 3377365 16304765 16886825 81523825 185395649 926978245 4634891225 20208125741 101040628705 505203143525