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9886126041 = 321122321312
BaseRepresentation
bin10010011010100001…
…00100111111011001
3221111222111020102100
421031100210333121
5130221322013131
64312553554013
7466662453621
oct111520447731
927458436370
109886126041
114213507900
121abaa15909
13c17229a2c
1469ad9d881
153ccdb77e6
hex24d424fd9

9886126041 has 81 divisors (see below), whose sum is σ = 16534477141. Its totient is φ = 5687338800.

The previous prime is 9886126031. The next prime is 9886126049. The reversal of 9886126041 is 1406216889.

The square root of 9886126041 is 99429.

It is a perfect power (a square), and thus also a powerful number.

9886126041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9886126041 - 213 = 9886117849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9886126049) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 75466546 + ... + 75466676.

Almost surely, 29886126041 is an apocalyptic number.

9886126041 is the 99429-th square number.

9886126041 is the 49715-th centered octagonal number.

It is an amenable number.

9886126041 is a deficient number, since it is larger than the sum of its proper divisors (6648351100).

9886126041 is a wasteful number, since it uses less digits than its factorization.

9886126041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The cubic root of 9886126041 is about 2146.2256506160.

The spelling of 9886126041 in words is "nine billion, eight hundred eighty-six million, one hundred twenty-six thousand, forty-one".

Divisors: 1 3 9 11 23 33 69 99 121 131 207 253 363 393 529 759 1089 1179 1441 1587 2277 2783 3013 4323 4761 5819 8349 9039 12969 15851 17161 17457 25047 27117 33143 47553 51483 52371 64009 69299 99429 142659 154449 188771 192027 207897 298287 364573 394703 566313 576081 623691 762289 1093719 1184109 1698939 2076481 2286867 3281157 3552327 4341733 6229443 6860601 8385179 9078169 13025199 18688329 25155537 27234507 39075597 47759063 75466611 81703521 99859859 143277189 299579577 429831567 898738731 1098458449 3295375347 9886126041