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9686663424 = 28335923753
BaseRepresentation
bin10010000010101111…
…01100000100000000
3221000002011111011000
421001113230010000
5124314241212144
64241110452000
7462021165144
oct110127540400
927002144130
109686663424
114120961669
121a64064000
13bb4b00209
1467c6bb224
153ba617769
hex2415ec100

9686663424 has 144 divisors (see below), whose sum is σ = 29131905600. Its totient is φ = 3174027264.

The previous prime is 9686663419. The next prime is 9686663431. The reversal of 9686663424 is 4243666869.

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

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395932 + ... + 419684.

It is an arithmetic number, because the mean of its divisors is an integer number (202304900).

Almost surely, 29686663424 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 9686663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565952800).

9686663424 is an abundant number, since it is smaller than the sum of its proper divisors (19445242176).

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

9686663424 is a wasteful number, since it uses less digits than its factorization.

9686663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23837 (or 23817 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 9686663424 is about 98420.8485230645. The cubic root of 9686663424 is about 2131.6933806180.

The spelling of 9686663424 in words is "nine billion, six hundred eighty-six million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 128 144 177 192 216 236 256 288 354 384 432 472 531 576 708 768 864 944 1062 1152 1416 1593 1728 1888 2124 2304 2832 3186 3456 3776 4248 5664 6372 6912 7552 8496 11328 12744 15104 16992 22656 23753 25488 33984 45312 47506 50976 67968 71259 95012 101952 135936 142518 190024 203904 213777 285036 380048 407808 427554 570072 641331 760096 855108 1140144 1282662 1401427 1520192 1710216 2280288 2565324 2802854 3040384 3420432 4204281 4560576 5130648 5605708 6080768 6840864 8408562 9121152 10261296 11211416 12612843 13681728 16817124 18242304 20522592 22422832 25225686 27363456 33634248 37838529 41045184 44845664 50451372 54726912 67268496 75677058 82090368 89691328 100902744 134536992 151354116 164180736 179382656 201805488 269073984 302708232 358765312 403610976 538147968 605416464 807221952 1076295936 1210832928 1614443904 2421665856 3228887808 4843331712 9686663424