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9955533330 = 2325110617037
BaseRepresentation
bin10010100010110010…
…10110001000010010
3221200211002111022200
421101121112020102
5130342104031310
64323513344030
7501464431341
oct112131261022
927624074280
109955533330
1142497035a6
121b1a108016
13c2871b832
146a62a9b58
153d40279c0
hex251656212

9955533330 has 24 divisors (see below), whose sum is σ = 25884386892. Its totient is φ = 2654808864.

The previous prime is 9955533323. The next prime is 9955533331. The reversal of 9955533330 is 333355599.

9955533330 is a `hidden beast` number, since 9 + 95 + 553 + 3 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9901643049 + 53890281 = 99507^2 + 7341^2 .

It is a super-3 number, since 3×99555333303 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9955533331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55308429 + ... + 55308608.

Almost surely, 29955533330 is an apocalyptic number.

9955533330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9955533330 is an abundant number, since it is smaller than the sum of its proper divisors (15928853562).

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

9955533330 is a wasteful number, since it uses less digits than its factorization.

9955533330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110617050 (or 110617047 counting only the distinct ones).

The product of its (nonzero) digits is 820125, while the sum is 45.

The square root of 9955533330 is about 99777.4189383550. The cubic root of 9955533330 is about 2151.2365938345.

The spelling of 9955533330 in words is "nine billion, nine hundred fifty-five million, five hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 110617037 221234074 331851111 553085185 663702222 995553333 1106170370 1659255555 1991106666 3318511110 4977766665 9955533330