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9668353590 = 2345715710861
BaseRepresentation
bin10010000000100011…
…10101111000110110
3220221210201020210000
421000101311320312
5124300044303330
64235214212130
7461406435540
oct110021657066
926853636700
109668353590
114111596175
121a59ab4046
13bb108c1ac
1467a0b2690
153b8bec560
hex240475e36

9668353590 has 160 divisors (see below), whose sum is σ = 29902999104. Its totient is φ = 2195631360.

The previous prime is 9668353579. The next prime is 9668353613. The reversal of 9668353590 is 953538669.

It is a super-2 number, since 2×96683535902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 884760 + ... + 895620.

Almost surely, 29668353590 is an apocalyptic number.

9668353590 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9668353590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951499552).

9668353590 is an abundant number, since it is smaller than the sum of its proper divisors (20234645514).

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

9668353590 is a wasteful number, since it uses less digits than its factorization.

9668353590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11044 (or 11035 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 9668353590 is about 98327.7864593727. The cubic root of 9668353590 is about 2130.3494169872.

The spelling of 9668353590 in words is "nine billion, six hundred sixty-eight million, three hundred fifty-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 157 162 189 210 270 314 315 378 405 471 567 630 785 810 942 945 1099 1134 1413 1570 1890 2198 2355 2826 2835 3297 4239 4710 5495 5670 6594 7065 8478 9891 10861 10990 12717 14130 16485 19782 21195 21722 25434 29673 32583 32970 42390 49455 54305 59346 63585 65166 76027 89019 97749 98910 108610 127170 148365 152054 162915 178038 195498 228081 293247 296730 325830 380135 445095 456162 488745 586494 684243 760270 879741 890190 977490 1140405 1368486 1466235 1705177 1759482 2052729 2280810 2932470 3410354 3421215 4105458 4398705 5115531 6158187 6842430 8525885 8797410 10231062 10263645 11936239 12316374 15346593 17051770 20527290 23872478 25577655 30693186 30790935 35808717 46039779 51155310 59681195 61581870 71617434 76732965 92079558 107426151 119362390 138119337 153465930 179043585 214852302 230198895 276238674 322278453 358087170 460397790 537130755 644556906 690596685 966835359 1074261510 1381193370 1611392265 1933670718 3222784530 4834176795 9668353590