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9872883009 = 32112317924223
BaseRepresentation
bin10010011000111100…
…00011110101000001
3221111001120102101200
421030132003311001
5130204424224014
64311402051413
7466442056323
oct111436036501
927431512350
109872883009
114206a92150
121ab64a9b69
13c14571012
14699313613
153cbb4da09
hex24c783d41

9872883009 has 48 divisors (see below), whose sum is σ = 16325038080. Its totient is φ = 5691201120.

The previous prime is 9872882993. The next prime is 9872883011. The reversal of 9872883009 is 9003882789.

It is not a de Polignac number, because 9872883009 - 24 = 9872882993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9872883019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395472 + ... + 419694.

It is an arithmetic number, because the mean of its divisors is an integer number (340104960).

Almost surely, 29872883009 is an apocalyptic number.

9872883009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9872883009 is a deficient number, since it is larger than the sum of its proper divisors (6452155071).

9872883009 is a wasteful number, since it uses less digits than its factorization.

9872883009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24442 (or 24439 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9872883009 is about 99362.3822631080. The cubic root of 9872883009 is about 2145.2668916606.

The spelling of 9872883009 in words is "nine billion, eight hundred seventy-two million, eight hundred eighty-three thousand, nine".

Divisors: 1 3 9 11 23 33 69 99 179 207 253 537 759 1611 1969 2277 4117 5907 12351 17721 24223 37053 45287 72669 135861 218007 266453 407583 557129 799359 1671387 2398077 4335917 5014161 6128419 13007751 18385257 39023253 47695087 55155771 99726091 143085261 299178273 429255783 897534819 1096987001 3290961003 9872883009