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9988963424 = 251153569941
BaseRepresentation
bin10010100110110001…
…10111110001100000
3221210010222220210022
421103120313301200
5130424133312144
64331110053012
7502351534226
oct112330676140
927703886708
109988963424
114266567080
121b2934a168
13c32624b5b
146aa8ccb16
153d6e2ccee
hex253637c60

9988963424 has 96 divisors (see below), whose sum is σ = 21920038560. Its totient is φ = 4442214400.

The previous prime is 9988963393. The next prime is 9988963433. The reversal of 9988963424 is 4243698899.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10614794 + ... + 10615734.

It is an arithmetic number, because the mean of its divisors is an integer number (228333735).

Almost surely, 29988963424 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 9988963424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10960019280).

9988963424 is an abundant number, since it is smaller than the sum of its proper divisors (11931075136).

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

9988963424 is a wasteful number, since it uses less digits than its factorization.

9988963424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1576 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 62.

The square root of 9988963424 is about 99944.8018858410. The cubic root of 9988963424 is about 2153.6418121986.

The spelling of 9988963424 in words is "nine billion, nine hundred eighty-eight million, nine hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 569 583 848 941 1138 1166 1696 1882 2276 2332 3764 4552 4664 6259 7528 9104 9328 10351 12518 15056 18208 18656 20702 25036 30112 30157 41404 49873 50072 60314 82808 99746 100144 120628 165616 199492 200288 241256 331232 331727 398984 482512 535429 548603 663454 797968 965024 1070858 1097206 1326908 1595936 2141716 2194412 2653816 4283432 4388824 5307632 5889719 8566864 8777648 10615264 11779438 17133728 17555296 23558876 28377737 47117752 56755474 94235504 113510948 188471008 227021896 312155107 454043792 624310214 908087584 1248620428 2497240856 4994481712 9988963424