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65486345409 = 3219724332
BaseRepresentation
bin111100111111010010…
…100101010011000001
320021000212010000210100
4330333102211103001
52033104001023114
650030051353013
74505545515552
oct747722452301
9207025100710
1065486345409
1125855375621
12108372b2769
13623829ca14
143253394329
151a84226909
hexf3f4a54c1

65486345409 has 27 divisors (see below), whose sum is σ = 95294061993. Its totient is φ = 43335637632.

The previous prime is 65486345369. The next prime is 65486345461. The reversal of 65486345409 is 90454368456.

The square root of 65486345409 is 255903.

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

65486345409 is a `hidden beast` number, since 65 + 4 + 8 + 6 + 34 + 540 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2555605809 + 62930739600 = 50553^2 + 250860^2 .

It is not a de Polignac number, because 65486345409 - 235 = 31126607041 is a prime.

It is a super-3 number, since 3×654863454093 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (65486345479) by changing a digit.

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, 151238457 + ... + 151238889.

Almost surely, 265486345409 is an apocalyptic number.

65486345409 is the 255903-rd square number.

65486345409 is the 127952-nd centered octagonal number.

It is an amenable number.

65486345409 is a deficient number, since it is larger than the sum of its proper divisors (29807716584).

65486345409 is an frugal number, since it uses more digits than its factorization.

65486345409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 65486345409 in words is "sixty-five billion, four hundred eighty-six million, three hundred forty-five thousand, four hundred nine".

Divisors: 1 3 9 197 433 591 1299 1773 3897 38809 85301 116427 187489 255903 349281 562467 767709 1687401 16804297 36935333 50412891 110805999 151238673 332417997 7276260601 21828781803 65486345409