Search a number
-
+
6494611456 = 21117210973
BaseRepresentation
bin1100000110001101…
…11110100000000000
3121202121202110001001
412003012332200000
5101300110031311
62552242021344
7316641200164
oct60306764000
917677673031
106494611456
112833047793
121313047854
137c66b5278
144587a0ca4
152802894c1
hex1831be800

6494611456 has 72 divisors (see below), whose sum is σ = 13796128710. Its totient is φ = 3056009216.

The previous prime is 6494611447. The next prime is 6494611457. The reversal of 6494611456 is 6541164946.

It can be written as a sum of positive squares in 3 ways, for example, as 6466733056 + 27878400 = 80416^2 + 5280^2 .

It is not an unprimeable number, because it can be changed into a prime (6494611457) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 586386 + ... + 597358.

Almost surely, 26494611456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6494611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898064355).

6494611456 is an abundant number, since it is smaller than the sum of its proper divisors (7301517254).

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

6494611456 is a wasteful number, since it uses less digits than its factorization.

6494611456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 10992 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 6494611456 is about 80589.1522228643. The cubic root of 6494611456 is about 1865.7397229973.

The spelling of 6494611456 in words is "six billion, four hundred ninety-four million, six hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2048 2176 2312 4352 4624 8704 9248 10973 17408 18496 21946 34816 36992 43892 73984 87784 147968 175568 186541 295936 351136 373082 591872 702272 746164 1404544 1492328 2809088 2984656 3171197 5618176 5969312 6342394 11236352 11938624 12684788 22472704 23877248 25369576 47754496 50739152 95508992 101478304 191017984 202956608 382035968 405913216 811826432 1623652864 3247305728 6494611456