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20569263562225 = 52721295812
BaseRepresentation
bin1001010110101001001111…
…01001011101110111110001
32200211101212100021202001201
410223110213221131313301
510144001322432442400
6111425220023531201
74222036345326100
oct453244751356761
980741770252051
1020569263562225
11661041504aa44
1223825648b9b01
13b6289a11c751
145117b4356037
1525a0c160b06a
hex12b527a5ddf1

20569263562225 has 27 divisors (see below), whose sum is σ = 29670342207681. Its totient is φ = 14104529023200.

The previous prime is 20569263562171. The next prime is 20569263562229. The reversal of 20569263562225 is 52226536296502.

It is a happy number.

The square root of 20569263562225 is 4535335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12459480980401 + 8109782581824 = 3529799^2 + 2847768^2 .

It is not a de Polignac number, because 20569263562225 - 217 = 20569263431153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20569263562229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158671935 + ... + 158801515.

Almost surely, 220569263562225 is an apocalyptic number.

20569263562225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20569263562225 is the 4535335-th square number.

20569263562225 is the 2267668-th centered octagonal number.

It is an amenable number.

20569263562225 is a deficient number, since it is larger than the sum of its proper divisors (9101078645456).

20569263562225 is an frugal number, since it uses more digits than its factorization.

20569263562225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259186 (or 129593 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 55.

The spelling of 20569263562225 in words is "twenty trillion, five hundred sixty-nine billion, two hundred sixty-three million, five hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 129581 647905 907067 3239525 4535335 6349469 22676675 31747345 158736725 16791235561 83956177805 117538648927 419780889025 587693244635 822770542489 2938466223175 4113852712445 20569263562225