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9000107241853 = 7213237913272161
BaseRepresentation
bin1000001011111000000000…
…1100011111000101111101
31011212101211221121021111211
42002332000030133011331
52134424204423214403
631050331525044421
71616144022211600
oct202760014370575
934771757537454
109000107241853
11295aa189a6562
121014345856711
1350392516a800
14231871040337
151091a7d1206d
hex82f8031f17d

9000107241853 has 72 divisors (see below), whose sum is σ = 11380551454080. Its totient is φ = 7093539048960.

The previous prime is 9000107241787. The next prime is 9000107241871. The reversal of 9000107241853 is 3581427010009.

It is a de Polignac number, because none of the positive numbers 2k-9000107241853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000107247853) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4164787093 + ... + 4164789253.

It is an arithmetic number, because the mean of its divisors is an integer number (158063214640).

Almost surely, 29000107241853 is an apocalyptic number.

It is an amenable number.

9000107241853 is a deficient number, since it is larger than the sum of its proper divisors (2380444212227).

9000107241853 is a wasteful number, since it uses less digits than its factorization.

9000107241853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 9000107241853 in words is "nine trillion, one hundred seven million, two hundred forty-one thousand, eight hundred fifty-three".

Divisors: 1 7 13 49 91 169 379 637 1183 1327 2161 2653 4927 8281 9289 15127 17251 18571 28093 34489 64051 65023 105889 120757 196651 224263 241423 365209 448357 502933 819019 845299 1376557 1569841 2556463 2867647 3138499 3520531 5733133 6538129 10647247 10988887 17895241 20073529 24643717 37279411 40131931 45766903 74530729 84995677 138414211 140514703 260955877 320368321 484632343 521715103 594969739 968899477 1086838213 1826691139 3392426401 4164788173 6782296339 7607867491 14128896769 23746984807 53255072437 98902277383 183675657997 692315941681 1285729605979 9000107241853