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9713894456 = 237337241397
BaseRepresentation
bin10010000101111111…
…00100010000111000
3221001222101222002202
421002333210100320
5124343224110311
64243522245332
7462501512000
oct110277442070
927058358082
109713894456
114135270752
121a711b6848
13bba645a56
14682169000
153bcbe5e3b
hex242fe4438

9713894456 has 128 divisors (see below), whose sum is σ = 21960048000. Its totient is φ = 4023613440.

The previous prime is 9713894453. The next prime is 9713894521. The reversal of 9713894456 is 6544983179.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 9713894456 = 11653 + 20113 = 15823 + 17923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9713894453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24468050 + ... + 24468446.

It is an arithmetic number, because the mean of its divisors is an integer number (171562875).

Almost surely, 29713894456 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 9713894456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980024000).

9713894456 is an abundant number, since it is smaller than the sum of its proper divisors (12246153544).

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

9713894456 is a wasteful number, since it uses less digits than its factorization.

9713894456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 684 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 56.

The square root of 9713894456 is about 98559.0911889918. The cubic root of 9713894456 is about 2133.6890420102.

The spelling of 9713894456 in words is "nine billion, seven hundred thirteen million, eight hundred ninety-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 241 259 296 343 392 397 482 518 686 794 964 1036 1372 1588 1687 1813 1928 2072 2744 2779 3176 3374 3626 5558 6748 7252 8917 11116 11809 12691 13496 14504 14689 17834 19453 22232 23618 25382 29378 35668 38906 47236 50764 58756 62419 71336 77812 82663 94472 95677 101528 102823 117512 124838 136171 155624 165326 191354 205646 249676 272342 330652 382708 411292 436933 499352 544684 661304 669739 719761 765416 822584 873866 1089368 1339478 1439522 1747732 2678956 2879044 3058531 3495464 3540049 4688173 5038327 5357912 5758088 6117062 7080098 9376346 10076654 12234124 14160196 18752692 20153308 24468248 24780343 28320392 32817211 37505384 40306616 49560686 65634422 99121372 131268844 173462401 198242744 262537688 346924802 693849604 1214236807 1387699208 2428473614 4856947228 9713894456