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9809864640 = 26345378467
BaseRepresentation
bin10010010001011011…
…01010011111000000
3221022122222202110000
421020231222133000
5130042311132030
64301231240000
7465045321312
oct111055523700
927278882400
109809864640
11418445a554
121a99379000
13c044a8244
14690bcb7b2
153c6351860
hex248b6a7c0

9809864640 has 140 divisors (see below), whose sum is σ = 34895506536. Its totient is φ = 2615956992.

The previous prime is 9809864609. The next prime is 9809864663. The reversal of 9809864640 is 464689089.

9809864640 is a `hidden beast` number, since 98 + 0 + 98 + 6 + 464 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163314 + ... + 215153.

Almost surely, 29809864640 is an apocalyptic number.

9809864640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9809864640 is an abundant number, since it is smaller than the sum of its proper divisors (25085641896).

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

9809864640 is a wasteful number, since it uses less digits than its factorization.

9809864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378496 (or 378477 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9809864640 is about 99044.7607902609. The cubic root of 9809864640 is about 2140.6927503632.

The spelling of 9809864640 in words is "nine billion, eight hundred nine million, eight hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 378467 756934 1135401 1513868 1892335 2270802 3027736 3406203 3784670 4541604 5677005 6055472 6812406 7569340 9083208 10218609 11354010 12110944 13624812 15138680 17031015 18166416 20437218 22708020 24221888 27249624 30277360 30655827 34062030 36332832 40874436 45416040 51093045 54499248 60554720 61311654 68124060 72665664 81748872 90832080 102186090 108998496 121109440 122623308 136248120 153279135 163497744 181664160 204372180 217996992 245246616 272496240 306558270 326995488 363328320 408744360 490493232 544992480 613116540 653990976 817488720 980986464 1089984960 1226233080 1634977440 1961972928 2452466160 3269954880 4904932320 9809864640