Search a number
-
+
6651132682441 = 13228327012
BaseRepresentation
bin110000011001001011001…
…1001101010000011001001
3212112211201212120000012211
41200302112121222003021
51332433004431314231
622051253240105121
71254346160665132
oct140622631520311
925484655500184
106651132682441
112134803006095
128b504aa651a1
13393278611900
1418dcb8dacc89
15b8027d39eb1
hex60c9666a0c9

6651132682441 has 27 divisors (see below), whose sum is σ = 7237978378677. Its totient is φ = 6109085455200.

The previous prime is 6651132682429. The next prime is 6651132682483. The reversal of 6651132682441 is 1442862311566.

The square root of 6651132682441 is 2578979.

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 1459622025 + 6649673060416 = 38205^2 + 2578696^2 .

It is not a de Polignac number, because 6651132682441 - 25 = 6651132682409 is a prime.

It is a super-3 number, since 3×66511326824413 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6651132682421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9488063391 + ... + 9488064091.

Almost surely, 26651132682441 is an apocalyptic number.

6651132682441 is the 2578979-th square number.

6651132682441 is the 1289490-th centered octagonal number.

It is an amenable number.

6651132682441 is a deficient number, since it is larger than the sum of its proper divisors (586845696236).

6651132682441 is an frugal number, since it uses more digits than its factorization.

6651132682441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

Multiplying 6651132682441 by its sum of digits (49), we get a square (325905501439609 = 180528532).

The spelling of 6651132682441 in words is "six trillion, six hundred fifty-one billion, one hundred thirty-two million, six hundred eighty-two thousand, four hundred forty-one".

Divisors: 1 13 169 283 701 3679 9113 47827 80089 118469 198383 491401 1041157 2578979 6388213 13535041 33526727 56142389 83046769 139066483 729851057 1807864279 9488063741 23502235627 39355814689 511625590957 6651132682441