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64865467969 = 25729912
BaseRepresentation
bin111100011010010010…
…000111111001000001
320012102120211012001121
4330122102013321001
52030321024433334
645444312032241
74454266244341
oct743222077101
9205376735047
1064865467969
1125566958175
12106a3392681
136169774513
1431d4b34d21
151a49982db4
hexf1a487e41

64865467969 has 9 divisors (see below), whose sum is σ = 65184621411. Its totient is φ = 64547873280.

The previous prime is 64865467957. The next prime is 64865467999. The reversal of 64865467969 is 96976456846.

The square root of 64865467969 is 254687.

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

It can be written as a sum of positive squares in only one way, i.e., 63859817025 + 1005650944 = 252705^2 + 31712^2 .

It is not a de Polignac number, because 64865467969 - 27 = 64865467841 is a prime.

It is a super-2 number, since 2×648654679692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 64865467898 and 64865467907.

It is not an unprimeable number, because it can be changed into a prime (64865467999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65454064 + ... + 65455054.

Almost surely, 264865467969 is an apocalyptic number.

64865467969 is the 254687-th square number.

64865467969 is the 127344-th centered octagonal number.

It is an amenable number.

64865467969 is a deficient number, since it is larger than the sum of its proper divisors (319153442).

64865467969 is an frugal number, since it uses more digits than its factorization.

64865467969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 1248 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 70.

The spelling of 64865467969 in words is "sixty-four billion, eight hundred sixty-five million, four hundred sixty-seven thousand, nine hundred sixty-nine".

Divisors: 1 257 991 66049 254687 982081 65454559 252394817 64865467969