Search a number
-
+
64663486732321 = 6172130332
BaseRepresentation
bin11101011001111101001000…
…01010000001100000100001
322110221202202120102102200221
432230332210022001200201
531433421310100413241
6345305555023443041
716422532324214611
oct1654764412014041
9273852676372627
1064663486732321
11196706a3539994
127304272a56481
132a10982233c09
1411d7a2d8b6a41
157720a42b95d1
hex3acfa4281821

64663486732321 has 9 divisors (see below), whose sum is σ = 64773429604761. Its totient is φ = 64553730196032.

The previous prime is 64663486732279. The next prime is 64663486732343. The reversal of 64663486732321 is 12323768436646.

The square root of 64663486732321 is 8041361.

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 14274500541921 + 50388986190400 = 3778161^2 + 7098520^2 .

It is not a de Polignac number, because 64663486732321 - 213 = 64663486724129 is a prime.

It is a super-3 number, since 3×646634867323213 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64663486732321.

It is not an unprimeable number, because it can be changed into a prime (64663486738321) 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 8 ways as a sum of consecutive naturals, for example, 4961513221 + ... + 4961526253.

Almost surely, 264663486732321 is an apocalyptic number.

64663486732321 is the 8041361-st square number.

64663486732321 is the 4020681-st centered octagonal number.

It is an amenable number.

64663486732321 is a deficient number, since it is larger than the sum of its proper divisors (109942872440).

64663486732321 is an frugal number, since it uses more digits than its factorization.

64663486732321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27300 (or 13650 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 61.

The spelling of 64663486732321 in words is "sixty-four trillion, six hundred sixty-three billion, four hundred eighty-six million, seven hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 617 13033 380689 8041361 169859089 4961519737 104803057913 64663486732321