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20126245689 = 3411214332
BaseRepresentation
bin10010101111100111…
…100010001100111001
31220221122002012210000
4102233213202030321
5312204304330224
613125035143213
71311514160064
oct225747421471
956848065700
1020126245689
118598817300
123a982a4b09
131b898aa624
14d8cd898db
157cbda70c9
hex4af9e2339

20126245689 has 45 divisors (see below), whose sum is σ = 33069875839. Its totient is φ = 12189212640.

The previous prime is 20126245669. The next prime is 20126245759. The reversal of 20126245689 is 98654262102.

The square root of 20126245689 is 141867.

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

20126245689 is a `hidden beast` number, since 2 + 0 + 12 + 624 + 5 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16691348025 + 3434897664 = 129195^2 + 58608^2 .

It is not a de Polignac number, because 20126245689 - 27 = 20126245561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20126245609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14044117 + ... + 14045549.

Almost surely, 220126245689 is an apocalyptic number.

20126245689 is the 141867-th square number.

20126245689 is the 70934-th centered octagonal number.

It is an amenable number.

20126245689 is a deficient number, since it is larger than the sum of its proper divisors (12943630150).

20126245689 is an frugal number, since it uses more digits than its factorization.

20126245689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20126245689 in words is "twenty billion, one hundred twenty-six million, two hundred forty-five thousand, six hundred eighty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1433 3267 4299 9801 12897 15763 38691 47289 116073 141867 173393 425601 520179 1276803 1560537 2053489 4681611 6160467 14044833 18481401 22588379 55444203 67765137 166332609 203295411 248472169 609886233 745416507 1829658699 2236249521 6708748563 20126245689