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9680973984 = 2533111018621
BaseRepresentation
bin10010000010000011…
…11111000010100000
3220222200110102201000
421001001333002200
5124311312131414
64240344512000
7461621630643
oct110101770240
926880412630
109680973984
114118726050
121a6217b600
13bb388a696
1467ba39a5a
153b9d91b09
hex24107f0a0

9680973984 has 96 divisors (see below), whose sum is σ = 30803129280. Its totient is φ = 2933625600.

The previous prime is 9680973977. The next prime is 9680973989. The reversal of 9680973984 is 4893790869.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (9680973989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499807 + ... + 518814.

It is an arithmetic number, because the mean of its divisors is an integer number (320865930).

Almost surely, 29680973984 is an apocalyptic number.

It is an amenable number.

9680973984 is an abundant number, since it is smaller than the sum of its proper divisors (21122155296).

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

9680973984 is a wasteful number, since it uses less digits than its factorization.

9680973984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018651 (or 1018637 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The square root of 9680973984 is about 98391.9406455630. The cubic root of 9680973984 is about 2131.2759504424.

The spelling of 9680973984 in words is "nine billion, six hundred eighty million, nine hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 1018621 2037242 3055863 4074484 6111726 8148968 9167589 11204831 12223452 16297936 18335178 22409662 24446904 27502767 32595872 33614493 36670356 44819324 48893808 55005534 67228986 73340712 89638648 97787616 100843479 110011068 134457972 146681424 179277296 201686958 220022136 268915944 293362848 302530437 358554592 403373916 440044272 537831888 605060874 806747832 880088544 1075663776 1210121748 1613495664 2420243496 3226991328 4840486992 9680973984