Search a number
-
+
6816317480 = 235723477713
BaseRepresentation
bin1100101100100100…
…01100000000101000
3122121001002210201222
412112102030000220
5102424434124410
63044213201212
7330625512500
oct62622140050
918531083658
106816317480
1129886a7235
1213a2930208
13848242b6b
144893c4a00
1529d634955
hex19648c028

6816317480 has 48 divisors (see below), whose sum is σ = 17840672820. Its totient is φ = 2337022464.

The previous prime is 6816317477. The next prime is 6816317567. The reversal of 6816317480 is 847136186.

It can be written as a sum of positive squares in 2 ways, for example, as 6778887556 + 37429924 = 82334^2 + 6118^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1736897 + ... + 1740816.

Almost surely, 26816317480 is an apocalyptic number.

It is an amenable number.

6816317480 is an abundant number, since it is smaller than the sum of its proper divisors (11024355340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6816317480 is a wasteful number, since it uses less digits than its factorization.

6816317480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477738 (or 3477727 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 6816317480 is about 82560.9924843446. The cubic root of 6816317480 is about 1896.0506590048.

The spelling of 6816317480 in words is "six billion, eight hundred sixteen million, three hundred seventeen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 3477713 6955426 13910852 17388565 24343991 27821704 34777130 48687982 69554260 97375964 121719955 139108520 170407937 194751928 243439910 340815874 486879820 681631748 852039685 973759640 1363263496 1704079370 3408158740 6816317480