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9968909320 = 2352331431811
BaseRepresentation
bin10010100100011000…
…10111110000001000
3221201202021001201201
421102030113300020
5130404020044240
64325112153544
7502016221366
oct112214276010
927652231651
109968909320
11425620a137
121b226988b4
13c2b422c16
146a7d8c636
153d52bad9a
hex252317c08

9968909320 has 128 divisors (see below), whose sum is σ = 24246190080. Its totient is φ = 3678048000.

The previous prime is 9968909299. The next prime is 9968909333. The reversal of 9968909320 is 239098699.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12291715 + ... + 12292525.

It is an arithmetic number, because the mean of its divisors is an integer number (189423360).

Almost surely, 29968909320 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 9968909320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12123095040).

9968909320 is an abundant number, since it is smaller than the sum of its proper divisors (14277280760).

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

9968909320 is a wasteful number, since it uses less digits than its factorization.

9968909320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 55.

The square root of 9968909320 is about 99844.4255830039. The cubic root of 9968909320 is about 2152.1996107736.

The spelling of 9968909320 in words is "nine billion, nine hundred sixty-eight million, nine hundred nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 431 460 620 713 811 862 920 1240 1426 1622 1724 2155 2852 3244 3448 3565 4055 4310 5704 6488 7130 8110 8620 9913 13361 14260 16220 17240 18653 19826 25141 26722 28520 32440 37306 39652 49565 50282 53444 66805 74612 79304 93265 99130 100564 106888 125705 133610 149224 186530 198260 201128 251410 267220 307303 349541 373060 396520 502820 534440 578243 614606 699082 746120 1005640 1156486 1229212 1398164 1536515 1747705 2312972 2458424 2796328 2891215 3073030 3495410 4625944 5782430 6146060 6990820 8039443 10835771 11564860 12292120 13981640 16078886 21671542 23129720 32157772 40197215 43343084 54178855 64315544 80394430 86686168 108357710 160788860 216715420 249222733 321577720 433430840 498445466 996890932 1246113665 1993781864 2492227330 4984454660 9968909320