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20705771025 = 32525321812
BaseRepresentation
bin10011010010001010…
…001111111000010001
31222110000120011002100
4103102022033320101
5314401134133100
613302340311013
71332052102242
oct232212177021
958400504070
1020705771025
118865960265
12401a3a2469
131c4c987a24
141005d22cc9
15812bcd400
hex4d228fe11

20705771025 has 81 divisors (see below), whose sum is σ = 38009271027. Its totient is φ = 10774857600.

The previous prime is 20705771017. The next prime is 20705771039. The reversal of 20705771025 is 52017750702.

The square root of 20705771025 is 143895.

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

20705771025 is a `hidden beast` number, since 2 + 0 + 70 + 577 + 10 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 19951280001 + 754491024 = 141249^2 + 27468^2 .

It is not a de Polignac number, because 20705771025 - 23 = 20705771017 is a prime.

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, 114396435 + ... + 114396615.

Almost surely, 220705771025 is an apocalyptic number.

20705771025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20705771025 is the 143895-th square number.

20705771025 is the 71948-th centered octagonal number.

It is an amenable number.

20705771025 is a deficient number, since it is larger than the sum of its proper divisors (17303500002).

20705771025 is an equidigital number, since it uses as much as digits as its factorization.

20705771025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

Multiplying 20705771025 by its sum of digits (36), we get a square (745407756900 = 8633702).

The spelling of 20705771025 in words is "twenty billion, seven hundred five million, seven hundred seventy-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 181 225 265 477 543 795 905 1325 1629 2385 2715 2809 3975 4525 8145 8427 9593 11925 13575 14045 25281 28779 32761 40725 42135 47965 70225 86337 98283 126405 143895 163805 210675 239825 294849 431685 491415 508429 632025 719475 819025 1474245 1525287 1736333 2158425 2457075 2542145 4575861 5208999 7371225 7626435 8681665 12710725 15626997 22879305 26044995 38132175 43408325 78134985 92025649 114396525 130224975 276076947 390674925 460128245 828230841 1380384735 2300641225 4141154205 6901923675 20705771025