Search a number
-
+
6745448385 = 3251397118873
BaseRepresentation
bin1100100100000111…
…10101111111000001
3122102002202021121200
412102003311333001
5102303313322020
63033202211413
7326105236164
oct62203657701
918362667550
106745448385
1129516a2235
121383053b69
1383665b8a0
1447dc17adb
152972d6590
hex1920f5fc1

6745448385 has 48 divisors (see below), whose sum is σ = 12721419984. Its totient is φ = 3286573056.

The previous prime is 6745448357. The next prime is 6745448393. The reversal of 6745448385 is 5838445476.

It is a happy number.

6745448385 is a `hidden beast` number, since 67 + 4 + 544 + 8 + 38 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 198049329 + 6547399056 = 14073^2 + 80916^2 .

It is not a de Polignac number, because 6745448385 - 26 = 6745448321 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2692 + ... + 116181.

It is an arithmetic number, because the mean of its divisors is an integer number (265029583).

Almost surely, 26745448385 is an apocalyptic number.

6745448385 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6745448385 is a deficient number, since it is larger than the sum of its proper divisors (5975971599).

6745448385 is a wasteful number, since it uses less digits than its factorization.

6745448385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118994 (or 118991 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The square root of 6745448385 is about 82130.6787077764. The cubic root of 6745448385 is about 1889.4566885444.

The spelling of 6745448385 in words is "six billion, seven hundred forty-five million, four hundred forty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 97 117 195 291 485 585 873 1261 1455 3783 4365 6305 11349 18915 56745 118873 356619 594365 1069857 1545349 1783095 4636047 5349285 7726745 11530681 13908141 23180235 34592043 57653405 69540705 103776129 149898853 172960215 449696559 518880645 749494265 1349089677 2248482795 6745448385