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9978664932 = 22324215411217
BaseRepresentation
bin10010100101100011…
…00101011111100100
3221202102121200220200
421102301211133210
5130414014234212
64330101230500
7502165152405
oct112261453744
927672550820
109978664932
114260772725
121b25a02430
13c3045a482
146a93ab9ac
153d60966dc
hex252c657e4

9978664932 has 72 divisors (see below), whose sum is σ = 25351310712. Its totient is φ = 3309465600.

The previous prime is 9978664909. The next prime is 9978664933. The reversal of 9978664932 is 2394668799.

9978664932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101485476 + 9877179456 = 10074^2 + 99384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9978664932.

It is not an unprimeable number, because it can be changed into a prime (9978664933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8198788 + ... + 8200004.

Almost surely, 29978664932 is an apocalyptic number.

It is an amenable number.

9978664932 is an abundant number, since it is smaller than the sum of its proper divisors (15372645780).

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

9978664932 is a wasteful number, since it uses less digits than its factorization.

9978664932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2184 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 9978664932 is about 99893.2677010818. The cubic root of 9978664932 is about 2152.9014320885.

The spelling of 9978664932 in words is "nine billion, nine hundred seventy-eight million, six hundred sixty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 421 541 842 1082 1217 1263 1623 1684 2164 2434 2526 3246 3651 3789 4868 4869 5052 6492 7302 7578 9738 10953 14604 15156 19476 21906 43812 227761 455522 512357 658397 683283 911044 1024714 1316794 1366566 1537071 1975191 2049428 2049849 2633588 2733132 3074142 3950382 4099698 4611213 5925573 6148284 7900764 8199396 9222426 11851146 18444852 23702292 277185137 554370274 831555411 1108740548 1663110822 2494666233 3326221644 4989332466 9978664932