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9988892290000 = 24541376837633
BaseRepresentation
bin1001000101011011100001…
…1000000110101111010000
31022100221002002010010020201
42101112320120012233100
52302124222411240000
633124500032144544
72050450030355161
oct221267030065720
938327062103221
109988892290000
1132012a13190a8
121153ab7998154
13575c43b1ac60
14267671c21768
15124c79bc996a
hex915b8606bd0

9988892290000 has 100 divisors (see below), whose sum is σ = 26044423394836. Its totient is φ = 3688206336000.

The previous prime is 9988892289989. The next prime is 9988892290031. The reversal of 9988892290000 is 922988899.

It can be written as a sum of positive squares in 10 ways, for example, as 9908846300224 + 80045989776 = 3147832^2 + 282924^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38288817 + ... + 38548816.

Almost surely, 29988892290000 is an apocalyptic number.

It is an amenable number.

9988892290000 is an abundant number, since it is smaller than the sum of its proper divisors (16055531104836).

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

9988892290000 is a wasteful number, since it uses less digits than its factorization.

9988892290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76837674 (or 76837653 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 64.

The spelling of 9988892290000 in words is "nine trillion, nine hundred eighty-eight billion, eight hundred ninety-two million, two hundred ninety thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 76837633 153675266 307350532 384188165 614701064 768376330 998889229 1229402128 1536752660 1920940825 1997778458 3073505320 3841881650 3995556916 4994446145 6147010640 7683763300 7991113832 9604704125 9988892290 15367526600 15982227664 19209408250 19977784580 24972230725 30735053200 38418816500 39955569160 48023520625 49944461450 76837633000 79911138320 96047041250 99888922900 124861153625 153675266000 192094082500 199777845800 249722307250 384188165000 399555691600 499444614500 624305768125 768376330000 998889229000 1248611536250 1997778458000 2497223072500 4994446145000 9988892290000