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20045312256 = 283293129033
BaseRepresentation
bin10010101010110010…
…110011000100000000
31220201222210100222110
4102222302303010000
5312023044443011
613113024335320
71306512225414
oct225262630400
956658710873
1020045312256
118557068872
123a75174540
131b75bb1418
14d8231cd44
157c4c1bba6
hex4aacb3100

20045312256 has 144 divisors (see below), whose sum is σ = 56971676160. Its totient is φ = 6243041280.

The previous prime is 20045312237. The next prime is 20045312263. The reversal of 20045312256 is 65221354002.

It is a super-3 number, since 3×200453122563 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675916 + ... + 704948.

It is an arithmetic number, because the mean of its divisors is an integer number (395636640).

Almost surely, 220045312256 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 20045312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28485838080).

20045312256 is an abundant number, since it is smaller than the sum of its proper divisors (36926363904).

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

20045312256 is a wasteful number, since it uses less digits than its factorization.

20045312256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29112 (or 29098 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 20045312256 its reverse (65221354002), we get a palindrome (85266666258).

The spelling of 20045312256 in words is "twenty billion, forty-five million, three hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 256 348 372 384 464 496 696 744 768 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 3712 3968 5394 5568 5952 7192 7424 7936 10788 11136 11904 14384 21576 22272 23808 28768 29033 43152 57536 58066 86304 87099 115072 116132 172608 174198 230144 232264 345216 348396 464528 690432 696792 841957 900023 929056 1393584 1683914 1800046 1858112 2525871 2700069 2787168 3367828 3600092 3716224 5051742 5400138 5574336 6735656 7200184 7432448 10103484 10800276 11148672 13471312 14400368 20206968 21600552 22297344 26100667 26942624 28800736 40413936 43201104 52201334 53885248 57601472 78302001 80827872 86402208 104402668 107770496 115202944 156604002 161655744 172804416 208805336 215540992 230405888 313208004 323311488 345608832 417610672 626416008 646622976 691217664 835221344 1252832016 1670442688 2505664032 3340885376 5011328064 6681770752 10022656128 20045312256