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6864951025 = 527322272
BaseRepresentation
bin1100110010010111…
…01101011011110001
3122201102121122102101
412121023231123301
5103024411413100
63053111420401
7332056056322
oct63113553361
918642548371
106864951025
112a030a4349
1213b7084701
138553402ca
14491a44449
152a2a3e86a
hex1992ed6f1

6864951025 has 27 divisors (see below), whose sum is σ = 8668935201. Its totient is φ = 5392866240.

The previous prime is 6864951019. The next prime is 6864951061. The reversal of 6864951025 is 5201594686.

The square root of 6864951025 is 82855.

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 37564641 + 6827386384 = 6129^2 + 82628^2 .

It is not a de Polignac number, because 6864951025 - 25 = 6864950993 is a prime.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 30241962 + ... + 30242188.

Almost surely, 26864951025 is an apocalyptic number.

6864951025 is the 82855-th square number.

6864951025 is the 41428-th centered octagonal number.

It is an amenable number.

6864951025 is a deficient number, since it is larger than the sum of its proper divisors (1803984176).

6864951025 is an frugal number, since it uses more digits than its factorization.

6864951025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The cubic root of 6864951025 is about 1900.5493356184.

The spelling of 6864951025 in words is "six billion, eight hundred sixty-four million, nine hundred fifty-one thousand, twenty-five".

Divisors: 1 5 25 73 227 365 1135 1825 5329 5675 16571 26645 51529 82855 133225 257645 414275 1209683 1288225 3761617 6048415 18808085 30242075 94040425 274598041 1372990205 6864951025