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9966655240 = 235435998213
BaseRepresentation
bin10010100100000111…
…10001011100001000
3221201121000112201021
421102003301130020
5130402430431430
64324552002224
7501661112623
oct112203613410
927647015637
109966655240
114254a0a663
121b21990374
13c2ab13c49
146a7962dba
153d4ec307a
hex2520f1708

9966655240 has 64 divisors (see below), whose sum is σ = 23335646400. Its totient is φ = 3827910912.

The previous prime is 9966655213. The next prime is 9966655249. The reversal of 9966655240 is 425566699.

It is not an unprimeable number, because it can be changed into a prime (9966655249) 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 15 ways as a sum of consecutive naturals, for example, 52374 + ... + 150586.

It is an arithmetic number, because the mean of its divisors is an integer number (364619475).

Almost surely, 29966655240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966655240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11667823200).

9966655240 is an abundant number, since it is smaller than the sum of its proper divisors (13368991160).

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

9966655240 is a wasteful number, since it uses less digits than its factorization.

9966655240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98326 (or 98322 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The square root of 9966655240 is about 99833.1369836689. The cubic root of 9966655240 is about 2152.0373865480.

The spelling of 9966655240 in words is "nine billion, nine hundred sixty-six million, six hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 59 86 118 172 215 236 295 344 430 472 590 860 1180 1720 2360 2537 5074 10148 12685 20296 25370 50740 98213 101480 196426 392852 491065 785704 982130 1964260 3928520 4223159 5794567 8446318 11589134 16892636 21115795 23178268 28972835 33785272 42231590 46356536 57945670 84463180 115891340 168926360 231782680 249166381 498332762 996665524 1245831905 1993331048 2491663810 4983327620 9966655240