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20015247274736 = 2471813307298559
BaseRepresentation
bin1001000110100001010011…
…01101000011001011110000
32121212102211222220022111212
410203100221231003023300
510110412211300242421
6110322513324055252
74134024325512620
oct443205155031360
977772758808455
1020015247274736
11641746732123a
1222b3109994528
13b22578129bac
144d2a5924c880
1524a998741e5b
hex123429b432f0

20015247274736 has 80 divisors (see below), whose sum is σ = 44577960161280. Its totient is φ = 8527962942720.

The previous prime is 20015247274723. The next prime is 20015247274751. The reversal of 20015247274736 is 63747274251002.

It is a happy number.

It is a super-2 number, since 2×200152472747362 (a number of 27 digits) contains 22 as substring.

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, 66890225 + ... + 67188783.

It is an arithmetic number, because the mean of its divisors is an integer number (557224502016).

Almost surely, 220015247274736 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 20015247274736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22288980080640).

20015247274736 is an abundant number, since it is smaller than the sum of its proper divisors (24562712886544).

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

20015247274736 is a wasteful number, since it uses less digits than its factorization.

20015247274736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302062 (or 302056 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 50.

The spelling of 20015247274736 in words is "twenty trillion, fifteen billion, two hundred forty-seven million, two hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 724 1267 1448 2534 2896 3307 5068 6614 10136 13228 20272 23149 26456 46298 52912 92596 185192 298559 370384 597118 598567 1194236 1197134 2089913 2388472 2394268 4179826 4189969 4776944 4788536 8359652 8379938 9577072 16719304 16759876 33438608 33519752 54039179 67039504 108078358 216156716 378274253 432313432 756548506 864626864 987334613 1513097012 1974669226 3026194024 3949338452 6052388048 6911342291 7898676904 13822684582 15797353808 27645369164 55290738328 110581476656 178707564953 357415129906 714830259812 1250952954671 1429660519624 2501905909342 2859321039248 5003811818684 10007623637368 20015247274736