Search a number
-
+
480271362885 = 3453732050141
BaseRepresentation
bin1101111110100100110…
…01110110101101000101
31200220122221022002220000
412333102121312231011
530332043432103020
61004344510031513
746461400141026
oct6772231665505
91626587262800
10480271362885
11175755733426
12790b5aa8599
133639ba553c2
1419360db8c4d
15c75db1b090
hex6fd2676b45

480271362885 has 40 divisors (see below), whose sum is σ = 884199317496. Its totient is φ = 249221888640.

The previous prime is 480271362881. The next prime is 480271362889. The reversal of 480271362885 is 588263172084.

480271362885 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 7 + 1 + 3 + 628 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (480271362881) and next prime (480271362889).

It can be written as a sum of positive squares in 4 ways, for example, as 18807928164 + 461463434721 = 137142^2 + 679311^2 .

It is not a de Polignac number, because 480271362885 - 22 = 480271362881 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480271362881) 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 39 ways as a sum of consecutive naturals, for example, 16010086 + ... + 16040055.

Almost surely, 2480271362885 is an apocalyptic number.

480271362885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480271362885 is a deficient number, since it is larger than the sum of its proper divisors (403927954611).

480271362885 is a wasteful number, since it uses less digits than its factorization.

480271362885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32050195 (or 32050186 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 480271362885 in words is "four hundred eighty billion, two hundred seventy-one million, three hundred sixty-two thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 333 405 555 999 1665 2997 4995 14985 32050141 96150423 160250705 288451269 480752115 865353807 1185855217 1442256345 2596061421 3557565651 4326769035 5929276085 10672696953 12980307105 17787828255 32018090859 53363484765 96054272577 160090454295 480271362885