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8020302030208 = 271341160973063
BaseRepresentation
bin111010010110101111101…
…0000001110010110000000
31001101201210122020101200001
41310231133100032112000
52022401034304431313
625020250443005344
71455306363266536
oct164553720162600
931351718211601
108020302030208
112612433452aa6
12a9647ab09854
13462407a2a9a0
141da282b06156
15dd95e491add
hex74b5f40e580

8020302030208 has 128 divisors (see below), whose sum is σ = 17637898017600. Its totient is φ = 3609099141120.

The previous prime is 8020302030197. The next prime is 8020302030233.

8020302030208 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109735885 + ... + 109808947.

Almost surely, 28020302030208 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 8020302030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818949008800).

8020302030208 is an abundant number, since it is smaller than the sum of its proper divisors (9617595987392).

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

8020302030208 is a wasteful number, since it uses less digits than its factorization.

8020302030208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74740 (or 74728 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 8020302030208 in words is "eight trillion, twenty billion, three hundred two million, thirty thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 328 416 533 656 832 1066 1312 1609 1664 2132 2624 3218 4264 5248 6436 8528 12872 17056 20917 25744 34112 41834 51488 65969 68224 73063 83668 102976 131938 146126 167336 205952 263876 292252 334672 527752 584504 669344 857597 949819 1055504 1169008 1338688 1715194 1899638 2111008 2338016 2677376 2995583 3430388 3799276 4222016 4676032 5991166 6860776 7598552 8444032 9352064 11982332 13721552 15197104 23964664 27443104 30394208 38942579 47929328 54886208 60788416 77885158 95858656 109772416 117558367 121576832 155770316 191717312 235116734 311540632 383434624 470233468 623081264 940466936 1246162528 1528258771 1880933872 2492325056 3056517542 3761867744 4819893047 4984650112 6113035084 7523735488 9639786094 12226070168 15047470976 19279572188 24452140336 38559144376 48904280672 62658609611 77118288752 97808561344 125317219222 154236577504 195617122688 250634438444 308473155008 501268876888 616946310016 1002537753776 2005075507552 4010151015104 8020302030208