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20201616728512 = 2641127157386117
BaseRepresentation
bin1001001011111100011100…
…01100000110000111000000
32122112020220101220111201221
410211332032030012013000
510121440402340303022
6110544254500204424
74153342615651042
oct445761614060700
978466811814657
1020201616728512
116489503a962aa
122323260699714
13b37009544cab
144dba98d49a92
15250755210cc7
hex125f8e3061c0

20201616728512 has 112 divisors (see below), whose sum is σ = 41652408204288. Its totient is φ = 9714555002880.

The previous prime is 20201616728453. The next prime is 20201616728567. The reversal of 20201616728512 is 21582761610202.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 52126878 + ... + 52512994.

It is an arithmetic number, because the mean of its divisors is an integer number (371896501824).

Almost surely, 220201616728512 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 20201616728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826204102144).

20201616728512 is an abundant number, since it is smaller than the sum of its proper divisors (21450791475776).

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

20201616728512 is a wasteful number, since it uses less digits than its factorization.

20201616728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386454 (or 386444 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 20201616728512 in words is "twenty trillion, two hundred one billion, six hundred sixteen million, seven hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 127 157 164 254 314 328 508 628 656 1016 1256 1312 2032 2512 2624 4064 5024 5207 6437 8128 10048 10414 12874 19939 20828 25748 39878 41656 51496 79756 83312 102992 159512 166624 205984 319024 333248 386117 411968 638048 772234 817499 1276096 1544468 1634998 3088936 3269996 6177872 6539992 12355744 13079984 15830797 24711488 26159968 31661594 49036859 52319936 60620369 63323188 98073718 121240738 126646376 196147436 242481476 253292752 392294872 484962952 506585504 784589744 969925904 1013171008 1569179488 1939851808 2010511219 2485435129 3138358976 3879703616 4021022438 4970870258 7698786863 8042044876 9941740516 15397573726 16084089752 19883481032 30795147452 32168179504 39766962064 61590294904 64336359008 79533924128 123180589808 128672718016 159067848256 246361179616 315650261383 492722359232 631300522766 1262601045532 2525202091064 5050404182128 10100808364256 20201616728512