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9963503484 = 22311213275171
BaseRepresentation
bin10010100011101111…
…01111111101111100
3221201101002102022120
421101313233331330
5130401124102414
64324400242540
7501622245054
oct112167577574
927641072276
109963503484
114253157700
121b20910450
13c2a27c4bc
146a7382564
153d4a9e2a9
hex251deff7c

9963503484 has 72 divisors (see below), whose sum is σ = 25577981184. Its totient is φ = 3016384800.

The previous prime is 9963503471. The next prime is 9963503491. The reversal of 9963503484 is 4843053699.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924219 + ... + 1929389.

Almost surely, 29963503484 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 9963503484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788990592).

9963503484 is an abundant number, since it is smaller than the sum of its proper divisors (15614477700).

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

9963503484 is a wasteful number, since it uses less digits than its factorization.

9963503484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The square root of 9963503484 is about 99817.3506160126. The cubic root of 9963503484 is about 2151.8105163269.

The spelling of 9963503484 in words is "nine billion, nine hundred sixty-three million, five hundred three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1327 1452 2654 3981 5171 5308 7962 10342 14597 15513 15924 20684 29194 31026 43791 56881 58388 62052 87582 113762 160567 170643 175164 227524 321134 341286 481701 625691 642268 682572 963402 1251382 1877073 1926804 2502764 3754146 6861917 7508292 13723834 20585751 27447668 41171502 75481087 82343004 150962174 226443261 301924348 452886522 830291957 905773044 1660583914 2490875871 3321167828 4981751742 9963503484