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9998127440 = 2457312692141
BaseRepresentation
bin10010100111110111…
…10101000101010000
3221210210020111110022
421103323311011100
5130434010034230
64332034323012
7502522452410
oct112373650520
927723214408
109998127440
114270756144
121b30429468
13c344b3052
146abbd6640
153d7b3d1e5
hex253ef5150

9998127440 has 160 divisors (see below), whose sum is σ = 27538237440. Its totient is φ = 3303475200.

The previous prime is 9998127437. The next prime is 9998127443. The reversal of 9998127440 is 447218999.

9998127440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9998127437) and next prime (9998127443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9998127443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4668770 + ... + 4670910.

It is an arithmetic number, because the mean of its divisors is an integer number (172113984).

Almost surely, 29998127440 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 9998127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769118720).

9998127440 is an abundant number, since it is smaller than the sum of its proper divisors (17540110000).

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

9998127440 is a wasteful number, since it uses less digits than its factorization.

9998127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The square root of 9998127440 is about 99990.6367616488. The cubic root of 9998127440 is about 2154.3002046964.

The spelling of 9998127440 in words is "nine billion, nine hundred ninety-eight million, one hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 269 280 310 434 496 538 560 620 868 1076 1085 1240 1345 1736 1883 2141 2152 2170 2480 2690 3472 3766 4282 4304 4340 5380 7532 8339 8564 8680 9415 10705 10760 14987 15064 16678 17128 17360 18830 21410 21520 29974 30128 33356 34256 37660 41695 42820 58373 59948 66371 66712 74935 75320 83390 85640 116746 119896 132742 133424 149870 150640 166780 171280 233492 239792 265484 291865 299740 331855 333560 464597 466984 530968 575929 583730 599480 663710 667120 929194 933968 1061936 1151858 1167460 1198960 1327420 1858388 2303716 2322985 2334920 2654840 2879645 3716776 4031503 4607432 4645970 4669840 5309680 5759290 7433552 8063006 9214864 9291940 11518580 16126012 17853799 18583880 20157515 23037160 32252024 35707598 37167760 40315030 46074320 64504048 71415196 80630060 89268995 124976593 142830392 161260120 178537990 249953186 285660784 322520240 357075980 499906372 624882965 714151960 999812744 1249765930 1428303920 1999625488 2499531860 4999063720 9998127440