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9905195125 = 53741436421
BaseRepresentation
bin10010011100110010…
…10100100001110101
3221120022101001021201
421032121110201311
5130241212221000
64314514412501
7500313524620
oct111631244165
927508331251
109905195125
114223251781
121b05291131
13c1b175507
1469d724db7
153ce8d296a
hex24e654875

9905195125 has 64 divisors (see below), whose sum is σ = 14811084288. Its totient is φ = 6471360000.

The previous prime is 9905195107. The next prime is 9905195141. The reversal of 9905195125 is 5215915099.

9905195125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9905195125 - 25 = 9905195093 is a prime.

It is a super-2 number, since 2×99051951252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1539415 + ... + 1545835.

It is an arithmetic number, because the mean of its divisors is an integer number (231423192).

Almost surely, 29905195125 is an apocalyptic number.

It is an amenable number.

9905195125 is a deficient number, since it is larger than the sum of its proper divisors (4905889163).

9905195125 is a wasteful number, since it uses less digits than its factorization.

9905195125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6527 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 46.

The square root of 9905195125 is about 99524.8467720498. The cubic root of 9905195125 is about 2147.6046967378.

The spelling of 9905195125 in words is "nine billion, nine hundred five million, one hundred ninety-five thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 41 43 125 175 205 215 287 301 875 1025 1075 1435 1505 1763 5125 5375 6421 7175 7525 8815 12341 32105 35875 37625 44075 44947 61705 160525 220375 224735 263261 276103 308525 802625 1123675 1316305 1380515 1542625 1842827 1932721 5618375 6581525 6902575 9214135 9663605 11320223 32907625 34512875 46070675 48318025 56601115 79241561 230353375 241590125 283005575 396207805 1415027875 1981039025 9905195125