Search a number
-
+
8645466361 = 723723592
BaseRepresentation
bin10000000110100111…
…10101100011111001
3211022111222012021211
420003103311203321
5120201214410421
63545514203121
7424146152200
oct100323654371
924274865254
108645466361
11373715a924
1218134234a1
13a7a19a68c
145c02c8237
15358ee99e1
hex2034f58f9

8645466361 has 27 divisors (see below), whose sum is σ = 10364998959. Its totient is φ = 7190034768.

The previous prime is 8645466329. The next prime is 8645466407. The reversal of 8645466361 is 1636645468.

The square root of 8645466361 is 92981.

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

8645466361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7736082025 + 909384336 = 87955^2 + 30156^2 .

It is not a de Polignac number, because 8645466361 - 25 = 8645466329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8645466061) 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 26 ways as a sum of consecutive naturals, for example, 24081900 + ... + 24082258.

Almost surely, 28645466361 is an apocalyptic number.

8645466361 is the 92981-st square number.

8645466361 is the 46491-st centered octagonal number.

It is an amenable number.

8645466361 is a deficient number, since it is larger than the sum of its proper divisors (1719532598).

8645466361 is an frugal number, since it uses more digits than its factorization.

8645466361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

The cubic root of 8645466361 is about 2052.4037922724.

Multiplying 8645466361 by its sum of digits (49), we get a square (423627851689 = 6508672).

8645466361 divided by its sum of digits (49) gives a square (176438089 = 132832).

The spelling of 8645466361 in words is "eight billion, six hundred forty-five million, four hundred sixty-six thousand, three hundred sixty-one".

Divisors: 1 7 37 49 259 359 1369 1813 2513 9583 13283 17591 67081 92981 128881 491471 650867 902167 3440297 4768597 6315169 24082079 33380179 176438089 233661253 1235066623 8645466361