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445606979454025 = 521237234132
BaseRepresentation
bin110010101010001101111010…
…1101110000100010001001001
32011102202121111120020022100221
41211110123311232010101021
5431401311043220012100
64215421004220030041
7162601020233003644
oct14524336556042111
92142677446208327
10445606979454025
11119a90949a51944
1241b8974b992321
13161847337c810c
147c076c867ca5b
15367b3d7ee601a
hex19546f5b84449

445606979454025 has 27 divisors (see below), whose sum is σ = 553161778232511. Its totient is φ = 356093033067840.

The previous prime is 445606979454011. The next prime is 445606979454149. The reversal of 445606979454025 is 520454979606544.

The square root of 445606979454025 is 21109405.

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 5792094182329 + 439814885271696 = 2406677^2 + 20971764^2 .

It is a de Polignac number, because none of the positive numbers 2k-445606979454025 is a prime.

It is a Duffinian number.

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, 130561668219 + ... + 130561671631.

Almost surely, 2445606979454025 is an apocalyptic number.

445606979454025 is the 21109405-th square number.

445606979454025 is the 10554703-rd centered octagonal number.

It is an amenable number.

445606979454025 is a deficient number, since it is larger than the sum of its proper divisors (107554798778486).

445606979454025 is an frugal number, since it uses more digits than its factorization.

445606979454025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 70.

The spelling of 445606979454025 in words is "four hundred forty-five trillion, six hundred six billion, nine hundred seventy-nine million, four hundred fifty-four thousand, twenty-five".

Divisors: 1 5 25 1237 3413 6185 17065 30925 85325 1530169 4221881 7650845 11648569 21109405 38254225 58242845 105547025 291214225 5222466797 14409279853 26112333985 72046399265 130561669925 360231996325 17824279178161 89121395890805 445606979454025