Search a number
-
+
480286422729 = 34770032
BaseRepresentation
bin1101111110100110100…
…11010011011011001001
31200220200222122020010000
412333103103103123021
530332111311011404
61004350204513213
746461642143211
oct6772323233311
91626628566100
10480286422729
1117576318a083
12790bab4b809
13363a1bc9059
1419362db9241
15c7600e3339
hex6fd34d36c9

480286422729 has 15 divisors (see below), whose sum is σ = 717474220573. Its totient is φ = 320186790324.

The previous prime is 480286422601. The next prime is 480286422731. The reversal of 480286422729 is 927224682084.

The square root of 480286422729 is 693027.

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

480286422729 is a `hidden beast` number, since 480 + 2 + 86 + 42 + 27 + 29 = 666.

It is not a de Polignac number, because 480286422729 - 27 = 480286422601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480286422769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6198742 + ... + 6275744.

Almost surely, 2480286422729 is an apocalyptic number.

480286422729 is the 693027-th square number.

480286422729 is the 346514-th centered octagonal number.

It is an amenable number.

480286422729 is a deficient number, since it is larger than the sum of its proper divisors (237187797844).

480286422729 is an frugal number, since it uses more digits than its factorization.

480286422729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154018 (or 77006 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 480286422729 in words is "four hundred eighty billion, two hundred eighty-six million, four hundred twenty-two thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 77003 231009 693027 2079081 6237243 5929462009 17788386027 53365158081 160095474243 480286422729