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9990338040 = 2333533727449
BaseRepresentation
bin10010100110111100…
…00111010111111000
3221210020120202102000
421103132013113320
5130430011304130
64331155341000
7502366320654
oct112336072770
927706522360
109990338040
114267315921
121b298b1760
13c329b6737
146aab69a64
153d7100260
hex2537875f8

9990338040 has 128 divisors (see below), whose sum is σ = 33401160000. Its totient is φ = 2656088064.

The previous prime is 9990338027. The next prime is 9990338051. The reversal of 9990338040 is 408330999.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350236 + ... + 377684.

Almost surely, 29990338040 is an apocalyptic number.

9990338040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990338040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700580000).

9990338040 is an abundant number, since it is smaller than the sum of its proper divisors (23410821960).

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

9990338040 is a wasteful number, since it uses less digits than its factorization.

9990338040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27806 (or 27796 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9990338040 is about 99951.6785251754. The cubic root of 9990338040 is about 2153.7405977142.

The spelling of 9990338040 in words is "nine billion, nine hundred ninety million, three hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 337 360 540 674 1011 1080 1348 1685 2022 2696 3033 3370 4044 5055 6066 6740 8088 9099 10110 12132 13480 15165 18198 20220 24264 27449 30330 36396 40440 45495 54898 60660 72792 82347 90990 109796 121320 137245 164694 181980 219592 247041 274490 329388 363960 411735 494082 548980 658776 741123 823470 988164 1097960 1235205 1482246 1646940 1976328 2470410 2964492 3293880 3705615 4940820 5928984 7411230 9250313 9881640 14822460 18500626 27750939 29644920 37001252 46251565 55501878 74002504 83252817 92503130 111003756 138754695 166505634 185006260 222007512 249758451 277509390 333011268 370012520 416264085 499516902 555018780 666022536 832528170 999033804 1110037560 1248792255 1665056340 1998067608 2497584510 3330112680 4995169020 9990338040