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9900438000 = 243537920887
BaseRepresentation
bin10010011100001110…
…01011000111110000
3221112222102100201220
421032013023013300
5130234003004000
64314224425040
7500225222505
oct111607130760
927488370656
109900438000
1142205a2672
121b03778180
13c1a19b14b
1469cc474ac
153ce2931a0
hex24e1cb1f0

9900438000 has 160 divisors (see below), whose sum is σ = 32324597760. Its totient is φ = 2606572800.

The previous prime is 9900437983. The next prime is 9900438017. The reversal of 9900438000 is 8340099.

It is an interprime number because it is at equal distance from previous prime (9900437983) and next prime (9900438017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463557 + ... + 484443.

It is an arithmetic number, because the mean of its divisors is an integer number (202028736).

Almost surely, 29900438000 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 9900438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162298880).

9900438000 is an abundant number, since it is smaller than the sum of its proper divisors (22424159760).

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

9900438000 is a wasteful number, since it uses less digits than its factorization.

9900438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20992 (or 20976 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 9900438000 is about 99500.9447191332. The cubic root of 9900438000 is about 2147.2608347599.

Adding to 9900438000 its reverse (8340099), we get a palindrome (9908778099).

The spelling of 9900438000 in words is "nine billion, nine hundred million, four hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 125 150 158 200 237 240 250 300 316 375 395 400 474 500 600 632 750 790 948 1000 1185 1200 1264 1500 1580 1896 1975 2000 2370 3000 3160 3792 3950 4740 5925 6000 6320 7900 9480 9875 11850 15800 18960 19750 20887 23700 29625 31600 39500 41774 47400 59250 62661 79000 83548 94800 104435 118500 125322 158000 167096 208870 237000 250644 313305 334192 417740 474000 501288 522175 626610 835480 1002576 1044350 1253220 1566525 1650073 1670960 2088700 2506440 2610875 3133050 3300146 4177400 4950219 5012880 5221750 6266100 6600292 7832625 8250365 8354800 9900438 10443500 12532200 13200584 15665250 16500730 19800876 20887000 24751095 25064400 26401168 31330500 33001460 39601752 41251825 41774000 49502190 62661000 66002920 79203504 82503650 99004380 123755475 125322000 132005840 165007300 198008760 206259125 247510950 330014600 396017520 412518250 495021900 618777375 660029200 825036500 990043800 1237554750 1650073000 1980087600 2475109500 3300146000 4950219000 9900438000