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20386660795281 = 3211261222432
BaseRepresentation
bin1001010001010101000111…
…01011001100001110010001
32200011221112102222001210100
410220222203223030032101
510133003340130422111
6111205300324523013
74202613313402134
oct450524353141621
980157472861710
1020386660795281
11654aa305a3500
1223530a3550469
13b4b5b91a6a21
14506a109d821b
15255485677756
hex128aa3acc391

20386660795281 has 81 divisors (see below), whose sum is σ = 32921798087451. Its totient is φ = 12147583773600.

The previous prime is 20386660795229. The next prime is 20386660795309. The reversal of 20386660795281 is 18259706668302.

It is a happy number.

The square root of 20386660795281 is 4515159.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 662936295681 + 19723724499600 = 814209^2 + 4441140^2 .

It is not a de Polignac number, because 20386660795281 - 29 = 20386660794769 is a prime.

It is a super-2 number, since 2×203866607952812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20386660395281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9089013946 + ... + 9089016188.

Almost surely, 220386660795281 is an apocalyptic number.

20386660795281 is the 4515159-th square number.

20386660795281 is the 2257580-th centered octagonal number.

It is an amenable number.

20386660795281 is a deficient number, since it is larger than the sum of its proper divisors (12535137292170).

20386660795281 is an frugal number, since it uses more digits than its factorization.

20386660795281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 20386660795281 in words is "twenty trillion, three hundred eighty-six billion, six hundred sixty million, seven hundred ninety-five thousand, two hundred eighty-one".

Divisors: 1 3 9 11 33 61 99 121 183 363 549 671 1089 2013 2243 3721 6039 6729 7381 11163 20187 22143 24673 33489 40931 66429 74019 122793 136823 222057 271403 368379 410469 450241 814209 1231407 1350723 1505053 2442627 4052169 4515159 5031049 8346203 13545477 15093147 16555583 25038609 45279441 49666749 55341539 75115827 91808233 149000247 166024617 275424699 306893989 498073851 608756929 826274097 920681967 1009890563 1826270787 2762045901 3029671689 3375833879 5478812361 9089015067 10127501637 18720533329 30382504911 37134172669 56161599987 111402518007 168484799961 205925866619 334207554021 617777599857 1853332799571 2265184532809 6795553598427 20386660795281