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9998389169920 = 285353154314341
BaseRepresentation
bin1001000101111110111001…
…1011110100111100000000
31022101211120221011121101001
42101133232123310330000
52302303200111414140
633133110243221344
72051234255456554
oct221375633647400
938354527147331
109998389169920
113205325035598
121155908377854
13576ac8500128
14267cd3219864
15125133804e9a
hex917ee6f4f00

9998389169920 has 144 divisors (see below), whose sum is σ = 24034352513472. Its totient is φ = 3985163550720.

The previous prime is 9998389169903. The next prime is 9998389169941. The reversal of 9998389169920 is 299619838999.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697181950 + ... + 697196290.

It is an arithmetic number, because the mean of its divisors is an integer number (166905225788).

Almost surely, 29998389169920 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 9998389169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017176256736).

9998389169920 is an abundant number, since it is smaller than the sum of its proper divisors (14035963343552).

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

9998389169920 is a wasteful number, since it uses less digits than its factorization.

9998389169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16258 (or 16244 counting only the distinct ones).

The product of its (nonzero) digits is 1224440064, while the sum is 82.

The spelling of 9998389169920 in words is "nine trillion, nine hundred ninety-eight billion, three hundred eighty-nine million, one hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 353 640 706 1280 1412 1543 1765 2824 3086 3530 5648 6172 7060 7715 11296 12344 14120 14341 15430 22592 24688 28240 28682 30860 45184 49376 56480 57364 61720 71705 90368 98752 112960 114728 123440 143410 197504 225920 229456 246880 286820 395008 451840 458912 493760 544679 573640 917824 987520 1089358 1147280 1835648 1975040 2178716 2294560 2723395 3671296 4357432 4589120 5062373 5446790 8714864 9178240 10124746 10893580 17429728 18356480 20249492 21787160 22128163 25311865 34859456 40498984 43574320 44256326 50623730 69718912 80997968 87148640 88512652 101247460 110640815 139437824 161995936 174297280 177025304 202494920 221281630 323991872 348594560 354050608 404989840 442563260 647983744 697189120 708101216 809979680 885126520 1295967488 1416202432 1619959360 1770253040 2832404864 3239918720 3540506080 5664809728 6479837440 7081012160 7811241539 14162024320 15622483078 28324048640 31244966156 39056207695 62489932312 78112415390 124979864624 156224830780 249959729248 312449661560 499919458496 624899323120 999838916992 1249798646240 1999677833984 2499597292480 4999194584960 9998389169920