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825230305035 = 3252928311931873
BaseRepresentation
bin11000000001000111000…
…11110010011100001011
32220220001201102000220200
430000203203302130023
5102010032424230120
61431034445223243
7113422655566443
oct14004343623413
92826051360820
10825230305035
11298a83aa2364
12113b27b61b23
135ca8511ac56
142bd2713d123
15166ed307e90
hexc0238f270b

825230305035 has 96 divisors (see below), whose sum is σ = 1486990215360. Its totient is φ = 422863773696.

The previous prime is 825230305021. The next prime is 825230305061. The reversal of 825230305035 is 530503032528.

825230305035 is a `hidden beast` number, since 82 + 523 + 0 + 3 + 0 + 50 + 3 + 5 = 666.

It is not a de Polignac number, because 825230305035 - 210 = 825230304011 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440591859 + ... + 440593731.

It is an arithmetic number, because the mean of its divisors is an integer number (15489481410).

Almost surely, 2825230305035 is an apocalyptic number.

825230305035 is a deficient number, since it is larger than the sum of its proper divisors (661759910325).

825230305035 is a wasteful number, since it uses less digits than its factorization.

825230305035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 825230305035 in words is "eight hundred twenty-five billion, two hundred thirty million, three hundred five thousand, thirty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 283 435 849 1193 1305 1415 1873 2547 3579 4245 5619 5965 8207 9365 10737 12735 16857 17895 24621 28095 34597 41035 53685 54317 73863 84285 103791 123105 162951 172985 271585 311373 337619 369315 488853 518955 530059 814755 1012857 1556865 1590177 1688095 2234489 2444265 2650295 3038571 4770531 5064285 6703467 7950885 9790951 11172445 15192855 15371711 20110401 23852655 29372853 33517335 46115133 48954755 64800181 76858555 88118559 100552005 138345399 146864265 194400543 230575665 324000905 440592795 583201629 632360387 691726995 972002715 1897081161 2916008145 3161801935 5691243483 9485405805 18338451223 28456217415 55015353669 91692256115 165046061007 275076768345 825230305035