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9989643264 = 210310730391
BaseRepresentation
bin10010100110110110…
…11101110000000000
3221210012021110100120
421103123131300000
5130424322041024
64331132420240
7502360365246
oct112333356000
927705243316
109989643264
114266990927
121b29617680
13c32802423
146aaa28796
153d7014479
hex2536ddc00

9989643264 has 88 divisors (see below), whose sum is σ = 26875767168. Its totient is φ = 3298652160.

The previous prime is 9989643263. The next prime is 9989643397. The reversal of 9989643264 is 4623469899.

It is a junction number, because it is equal to n+sod(n) for n = 9989643198 and 9989643207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9989643263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313509 + ... + 343899.

Almost surely, 29989643264 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 9989643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13437883584).

9989643264 is an abundant number, since it is smaller than the sum of its proper divisors (16886123904).

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

9989643264 is a wasteful number, since it uses less digits than its factorization.

9989643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30521 (or 30503 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 60.

The square root of 9989643264 is about 99948.2029053049. The cubic root of 9989643264 is about 2153.6906694081.

The spelling of 9989643264 in words is "nine billion, nine hundred eighty-nine million, six hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1024 1284 1536 1712 2568 3072 3424 5136 6848 10272 13696 20544 27392 30391 41088 54784 60782 82176 91173 109568 121564 164352 182346 243128 328704 364692 486256 729384 972512 1458768 1945024 2917536 3251837 3890048 5835072 6503674 7780096 9755511 11670144 13007348 15560192 19511022 23340288 26014696 31120384 39022044 46680576 52029392 78044088 93361152 104058784 156088176 208117568 312176352 416235136 624352704 832470272 1248705408 1664940544 2497410816 3329881088 4994821632 9989643264