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20286511443025 = 5241212721732
BaseRepresentation
bin1001001110011010100100…
…10011101110110001010001
32122211101000212021211202121
410213031102103232301101
510124333233412134100
6111051254504414241
74162436444062252
oct447152223566121
978741025254677
1020286511443025
116511508928893
1223377b3777381
13b42018764189
14501c2dbbab29
15252a7328a51a
hex1273524eec51

20286511443025 has 81 divisors (see below), whose sum is σ = 26139492749523. Its totient is φ = 15617900793600.

The previous prime is 20286511443017. The next prime is 20286511443049. The reversal of 20286511443025 is 52034411568202.

The square root of 20286511443025 is 4504055.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14571313583121 + 5715197859904 = 3817239^2 + 2390648^2 .

It is not a de Polignac number, because 20286511443025 - 23 = 20286511443017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 117263071839 + ... + 117263072011.

Almost surely, 220286511443025 is an apocalyptic number.

20286511443025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20286511443025 is the 4504055-th square number.

20286511443025 is the 2252028-th centered octagonal number.

It is an amenable number.

20286511443025 is a deficient number, since it is larger than the sum of its proper divisors (5852981306498).

20286511443025 is an frugal number, since it uses more digits than its factorization.

20286511443025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 20286511443025 in words is "twenty trillion, two hundred eighty-six billion, five hundred eleven million, four hundred forty-three thousand, twenty-five".

Divisors: 1 5 25 41 127 173 205 635 865 1025 1681 3175 4325 5207 7093 8405 16129 21971 26035 29929 35465 42025 80645 109855 130175 149645 177325 213487 290813 403225 549275 661289 748225 900811 1067435 1227089 1454065 2790317 3306445 3800983 4504055 5337175 6135445 7270325 13951585 16532225 19004915 22520275 27112849 30677225 36933251 50310649 69757925 95024575 114402997 135564245 155840303 184666255 251553245 482724841 572014985 677821225 779201515 923331275 1257766225 2413624205 2860074925 3896007575 4690522877 6389452423 12068121025 19791718481 23452614385 31947262115 98958592405 117263071925 159736310575 494792962025 811460457721 4057302288605 20286511443025