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9303820668 = 223219103132059
BaseRepresentation
bin10001010101000110…
…10000100101111100
3220000101210001121200
420222203100211330
5123023234230133
64135113055500
7446362112412
oct105243204574
926011701550
109303820668
113a4484519a
1219779b7590
13b536b813c
146439012b2
15396be2913
hex22a8d097c

9303820668 has 72 divisors (see below), whose sum is σ = 24996316800. Its totient is φ = 2909501856.

The previous prime is 9303820637. The next prime is 9303820693. The reversal of 9303820668 is 8660283039.

It is a super-2 number, since 2×93038206682 (a number of 21 digits) contains 22 as substring.

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, 4423 + ... + 136481.

Almost surely, 29303820668 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 9303820668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12498158400).

9303820668 is an abundant number, since it is smaller than the sum of its proper divisors (15692496132).

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

9303820668 is a wasteful number, since it uses less digits than its factorization.

9303820668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132191 (or 132186 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9303820668 is about 96456.3148166049. The cubic root of 9303820668 is about 2103.2316583124.

The spelling of 9303820668 in words is "nine billion, three hundred three million, eight hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 103 114 171 206 228 309 342 412 618 684 927 1236 1854 1957 3708 3914 5871 7828 11742 17613 23484 35226 70452 132059 264118 396177 528236 792354 1188531 1584708 2377062 2509121 4754124 5018242 7527363 10036484 13602077 15054726 22582089 27204154 30109452 40806231 45164178 54408308 81612462 90328356 122418693 163224924 244837386 258439463 489674772 516878926 775318389 1033757852 1550636778 2325955167 3101273556 4651910334 9303820668