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9988576500 = 2235372135899
BaseRepresentation
bin10010100110101110…
…11001010011110100
3221210010021021000210
421103113121103310
5130424033422000
64331053505420
7502345333200
oct112327312364
927703237023
109988576500
114266322401
121b291a2270
13c3251a9c6
146aa82bb00
153d6da3350
hex2535d94f4

9988576500 has 144 divisors (see below), whose sum is σ = 33835838400. Its totient is φ = 2283086400.

The previous prime is 9988576453. The next prime is 9988576501. The reversal of 9988576500 is 56758899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9988576501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5551 + ... + 141449.

It is an arithmetic number, because the mean of its divisors is an integer number (234971100).

Almost surely, 29988576500 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 9988576500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917919200).

9988576500 is an abundant number, since it is smaller than the sum of its proper divisors (23847261900).

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

9988576500 is a wasteful number, since it uses less digits than its factorization.

9988576500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135935 (or 135916 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The square root of 9988576500 is about 99942.8661786323. The cubic root of 9988576500 is about 2153.6140046265.

The spelling of 9988576500 in words is "nine billion, nine hundred eighty-eight million, five hundred seventy-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 125 140 147 150 175 196 210 245 250 294 300 350 375 420 490 500 525 588 700 735 750 875 980 1050 1225 1470 1500 1750 2100 2450 2625 2940 3500 3675 4900 5250 6125 7350 10500 12250 14700 18375 24500 36750 73500 135899 271798 407697 543596 679495 815394 951293 1358990 1630788 1902586 2038485 2717980 2853879 3397475 3805172 4076970 4756465 5707758 6659051 6794950 8153940 9512930 10192425 11415516 13318102 13589900 14269395 16987375 19025860 19977153 20384850 23782325 26636204 28538790 33295255 33974750 39954306 40769700 47564650 50962125 57077580 66590510 67949500 71346975 79908612 95129300 99885765 101924250 118911625 133181020 142693950 166476275 199771530 203848500 237823250 285387900 332952550 356734875 399543060 475646500 499428825 665905100 713469750 832381375 998857650 1426939500 1664762750 1997715300 2497144125 3329525500 4994288250 9988576500