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9990990900 = 22335211336397
BaseRepresentation
bin10010100111000001…
…00110110000110100
3221210021210220222000
421103200212300310
5130430143202100
64331221335300
7502405010232
oct112340466064
927707726860
109990990900
114267721380
121b29b67530
13c32b84947
146aac99952
153d71cd900
hex253826c34

9990990900 has 144 divisors (see below), whose sum is σ = 35039215680. Its totient is φ = 2422051200.

The previous prime is 9990990871. The next prime is 9990990943. The reversal of 9990990900 is 90990999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138499 + ... + 197898.

Almost surely, 29990990900 is an apocalyptic number.

9990990900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9990990900 is an abundant number, since it is smaller than the sum of its proper divisors (25048224780).

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

9990990900 is a wasteful number, since it uses less digits than its factorization.

9990990900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336431 (or 336418 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The square root of 9990990900 is about 99954.9443499420. The cubic root of 9990990900 is about 2153.7875117243.

The spelling of 9990990900 in words is "nine billion, nine hundred ninety million, nine hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 336397 672794 1009191 1345588 1681985 2018382 3027573 3363970 3700367 4036764 5045955 6055146 6727940 7400734 8409925 9082719 10091910 11101101 12110292 14801468 15137865 16819850 18165438 18501835 20183820 22202202 25229775 30275730 33303303 33639700 36330876 37003670 44404404 45413595 50459550 55505505 60551460 66606606 74007340 75689325 90827190 92509175 99909909 100919100 111011010 133213212 151378650 166516515 181654380 185018350 199819818 222022020 227067975 277527525 302757300 333033030 370036700 399639636 454135950 499549545 555055050 666066060 832582575 908271900 999099090 1110110100 1665165150 1998198180 2497747725 3330330300 4995495450 9990990900