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9991089200 = 2452193142407
BaseRepresentation
bin10010100111000001…
…11110110000110000
3221210021222220210202
421103200332300300
5130430204323300
64331223414332
7502405566641
oct112340766060
927707886722
109991089200
114267789214
121b29bb43a8
13c32bba601
146aacc36c8
153d71ecad5
hex25383ec30

9991089200 has 120 divisors (see below), whose sum is σ = 26082616320. Its totient is φ = 3663878400.

The previous prime is 9991089191. The next prime is 9991089203. The reversal of 9991089200 is 29801999.

It is not an unprimeable number, because it can be changed into a prime (9991089203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214397 + ... + 256803.

It is an arithmetic number, because the mean of its divisors is an integer number (217355136).

Almost surely, 29991089200 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 9991089200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13041308160).

9991089200 is an abundant number, since it is smaller than the sum of its proper divisors (16091527120).

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

9991089200 is a wasteful number, since it uses less digits than its factorization.

9991089200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42475 (or 42464 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 47.

The square root of 9991089200 is about 99955.4360702808. The cubic root of 9991089200 is about 2153.7945753085.

The spelling of 9991089200 in words is "nine billion, nine hundred ninety-one million, eighty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 31 38 40 50 62 76 80 95 100 124 152 155 190 200 248 304 310 380 400 475 496 589 620 760 775 950 1178 1240 1520 1550 1900 2356 2480 2945 3100 3800 4712 5890 6200 7600 9424 11780 12400 14725 23560 29450 42407 47120 58900 84814 117800 169628 212035 235600 339256 424070 678512 805733 848140 1060175 1314617 1611466 1696280 2120350 2629234 3222932 3392560 4028665 4240700 5258468 6445864 6573085 8057330 8481400 10516936 12891728 13146170 16114660 16962800 20143325 21033872 24977723 26292340 32229320 32865425 40286650 49955446 52584680 64458640 65730850 80573300 99910892 105169360 124888615 131461700 161146600 199821784 249777230 262923400 322293200 399643568 499554460 525846800 624443075 999108920 1248886150 1998217840 2497772300 4995544600 9991089200