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65328804025 = 52172312972
BaseRepresentation
bin111100110101111001…
…100111000010111001
320020121212200002122021
4330311321213002321
52032243133212100
650002302554441
74501623446332
oct746571470271
9206555602567
1065328804025
1125784452431
12107b2598a21
136211760374
14323a4a5289
151a754a7a1a
hexf35e670b9

65328804025 has 81 divisors (see below), whose sum is σ = 89844772167. Its totient is φ = 47111270400.

The previous prime is 65328804011. The next prime is 65328804031. The reversal of 65328804025 is 52040882356.

The square root of 65328804025 is 255595.

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 26015431849 + 39313372176 = 161293^2 + 198276^2 .

It is not a de Polignac number, because 65328804025 - 227 = 65194586297 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, 673492777 + ... + 673492873.

Almost surely, 265328804025 is an apocalyptic number.

65328804025 is the 255595-th square number.

65328804025 is the 127798-th centered octagonal number.

It is an amenable number.

65328804025 is a deficient number, since it is larger than the sum of its proper divisors (24515968142).

65328804025 is an equidigital number, since it uses as much as digits as its factorization.

65328804025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 65328804025 in words is "sixty-five billion, three hundred twenty-eight million, eight hundred four thousand, twenty-five".

Divisors: 1 5 17 25 31 85 97 155 289 425 485 527 775 961 1445 1649 2425 2635 3007 4805 7225 8245 8959 9409 13175 15035 16337 24025 28033 41225 44795 47045 51119 75175 81685 93217 140165 159953 223975 235225 255595 277729 291679 408425 466085 700825 799765 869023 1277975 1388645 1458395 1584689 2330425 2719201 3998825 4345115 4958543 6943225 7291975 7923445 9042049 13596005 21725575 24792715 26939713 39617225 45210245 67980025 84295231 123963575 134698565 153714833 226051225 421476155 673492825 768574165 2107380775 2613152161 3842870825 13065760805 65328804025