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9906549906 = 23113128117231
BaseRepresentation
bin10010011100111100…
…11111010010010010
3221120101220212200210
421032132133102102
5130242034044111
64315003424550
7500331166461
oct111636372222
927511825623
109906549906
114223a97630
121b05825156
13c1b52b066
1469d9989d8
153cea9e0a6
hex24e79f492

9906549906 has 64 divisors (see below), whose sum is σ = 22392225792. Its totient is φ = 2894640000.

The previous prime is 9906549889. The next prime is 9906549907. The reversal of 9906549906 is 6099456099.

It is not an unprimeable number, because it can be changed into a prime (9906549907) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566311 + ... + 583541.

It is an arithmetic number, because the mean of its divisors is an integer number (349878528).

Almost surely, 29906549906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9906549906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196112896).

9906549906 is an abundant number, since it is smaller than the sum of its proper divisors (12485675886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9906549906 is a wasteful number, since it uses less digits than its factorization.

9906549906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17559.

The product of its (nonzero) digits is 4723920, while the sum is 57.

The square root of 9906549906 is about 99531.6527844283. The cubic root of 9906549906 is about 2147.7026050025.

The spelling of 9906549906 in words is "nine billion, nine hundred six million, five hundred forty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 281 341 562 682 843 1023 1686 2046 3091 6182 8711 9273 17231 17422 18546 26133 34462 51693 52266 95821 103386 189541 191642 287463 379082 534161 568623 574926 1068322 1137246 1602483 3204966 4841911 5875771 9683822 11751542 14525733 17627313 29051466 35254626 53261021 106522042 150099241 159783063 300198482 319566126 450297723 900595446 1651091651 3302183302 4953274953 9906549906