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8427496090225 = 52139241772
BaseRepresentation
bin111101010100010110111…
…1010010010101001110001
31002211122211200200212202011
41322220231322102221301
52101034002444341400
625531312132522521
71526603131554502
oct172505572225161
932748750625664
108427496090225
11275a098925143
12b4137b480441
1349192b929674
14211c704dcba9
15e93427388ba
hex7aa2de92a71

8427496090225 has 27 divisors (see below), whose sum is σ = 10528337109537. Its totient is φ = 6691890833280.

The previous prime is 8427496090177. The next prime is 8427496090241. The reversal of 8427496090225 is 5220906947248.

The square root of 8427496090225 is 2903015.

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 1068624590049 + 7358871500176 = 1033743^2 + 2712724^2 .

It is not a de Polignac number, because 8427496090225 - 29 = 8427496089713 is a prime.

It is a super-2 number, since 2×84274960902252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8427496090225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2017593337 + ... + 2017597513.

Almost surely, 28427496090225 is an apocalyptic number.

8427496090225 is the 2903015-th square number.

8427496090225 is the 1451508-th centered octagonal number.

It is an amenable number.

8427496090225 is a deficient number, since it is larger than the sum of its proper divisors (2100841019312).

8427496090225 is an frugal number, since it uses more digits than its factorization.

8427496090225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8642 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 8427496090225 in words is "eight trillion, four hundred twenty-seven billion, four hundred ninety-six million, ninety thousand, two hundred twenty-five".

Divisors: 1 5 25 139 695 3475 4177 19321 20885 96605 104425 483025 580603 2903015 14515075 17447329 80703817 87236645 403519085 436183225 2017595425 2425178731 12125893655 60629468275 337099843609 1685499218045 8427496090225