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9720936228864 = 21137226026233
BaseRepresentation
bin1000110101110101010011…
…1100110110100000000000
31021102022102202111211220010
42031131110330312200000
52233231434133310424
632401423023544520
72022212601415020
oct215352474664000
937368382454803
109720936228864
113108698093403
12110bb95a5b140
135568ac974123
142586d277da80
1511cce57d6229
hex8d754f36800

9720936228864 has 96 divisors (see below), whose sum is σ = 29618477703360. Its totient is φ = 2777410338816.

The previous prime is 9720936228853. The next prime is 9720936228881. The reversal of 9720936228864 is 4688226390279.

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

It is a junction number, because it is equal to n+sod(n) for n = 9720936228795 and 9720936228804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112970109 + ... + 113056124.

It is an arithmetic number, because the mean of its divisors is an integer number (308525809410).

Almost surely, 29720936228864 is an apocalyptic number.

It is an amenable number.

9720936228864 is an abundant number, since it is smaller than the sum of its proper divisors (19897541474496).

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

9720936228864 is a wasteful number, since it uses less digits than its factorization.

9720936228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226026265 (or 226026245 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 9720936228864 in words is "nine trillion, seven hundred twenty billion, nine hundred thirty-six million, two hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 226026233 452052466 678078699 904104932 1356157398 1582183631 1808209864 2712314796 3164367262 3616419728 4746550893 5424629592 6328734524 7232839456 9493101786 10849259184 12657469048 14465678912 18986203572 21698518368 25314938096 28931357824 37972407144 43397036736 50629876192 57862715648 75944814288 86794073472 101259752384 115725431296 151889628576 173588146944 202519504768 231450862592 303779257152 347176293888 405039009536 462901725184 607558514304 694352587776 810078019072 1215117028608 1388705175552 1620156038144 2430234057216 3240312076288 4860468114432 9720936228864