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9663676128 = 2532316011801
BaseRepresentation
bin10001111111111111…
…11111111011100000
3220221110220121111200
420333333333323200
5124242400114003
64234530041200
7461321614611
oct107777777340
926843817450
109663676128
1141099909a7
121a58419200
13bb0112172
14679615c08
153b85c66a3
hex23ffffee0

9663676128 has 144 divisors (see below), whose sum is σ = 28430543232. Its totient is φ = 3110400000.

The previous prime is 9663676103. The next prime is 9663676147. The reversal of 9663676128 is 8216763669.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5364828 + ... + 5366628.

It is an arithmetic number, because the mean of its divisors is an integer number (197434328).

Almost surely, 29663676128 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 9663676128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215271616).

9663676128 is an abundant number, since it is smaller than the sum of its proper divisors (18766867104).

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

9663676128 is a wasteful number, since it uses less digits than its factorization.

9663676128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2438 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 9663676128 is about 98303.9985351562. The cubic root of 9663676128 is about 2130.0058136454.

The spelling of 9663676128 in words is "nine billion, six hundred sixty-three million, six hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 601 744 992 1116 1202 1488 1801 1803 2232 2404 2976 3602 3606 4464 4808 5403 5409 7204 7212 8928 9616 10806 10818 14408 14424 16209 18631 19232 21612 21636 28816 28848 32418 37262 43224 43272 55831 55893 57632 57696 64836 74524 86448 86544 111662 111786 129672 149048 167493 167679 172896 173088 223324 223572 259344 298096 334986 335358 446648 447144 502479 518688 596192 669972 670716 893296 894288 1004958 1082401 1339944 1341432 1786592 1788576 2009916 2164802 2679888 2682864 3247203 4019832 4329604 5359776 5365728 6494406 8039664 8659208 9741609 12988812 16079328 17318416 19483218 25977624 33554431 34636832 38966436 51955248 67108862 77932872 100663293 103910496 134217724 155865744 201326586 268435448 301989879 311731488 402653172 536870896 603979758 805306344 1073741792 1207959516 1610612688 2415919032 3221225376 4831838064 9663676128