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6410449872 = 243253818273
BaseRepresentation
bin1011111100001011…
…11011001111010000
3121112202101121001100
411332011323033100
5101112033343442
62540034104400
7314566632141
oct57605731720
917482347040
106410449872
11279a593962
1212aaa1b100
137b2128908
1444b533ac8
15277bb284c
hex17e17b3d0

6410449872 has 60 divisors (see below), whose sum is σ = 17945859204. Its totient is φ = 2136161280.

The previous prime is 6410449867. The next prime is 6410449873. The reversal of 6410449872 is 2789440146.

It can be written as a sum of positive squares in 2 ways, for example, as 3511273536 + 2899176336 = 59256^2 + 53844^2 .

It is a super-2 number, since 2×64104498722 = 82187735122849632768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6410449873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 770728 + ... + 779000.

Almost surely, 26410449872 is an apocalyptic number.

It is an amenable number.

6410449872 is an abundant number, since it is smaller than the sum of its proper divisors (11535409332).

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

6410449872 is a wasteful number, since it uses less digits than its factorization.

6410449872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13668 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6410449872 is about 80065.2850616296. The cubic root of 6410449872 is about 1857.6454841558.

The spelling of 6410449872 in words is "six billion, four hundred ten million, four hundred forty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5381 8273 10762 16143 16546 21524 24819 32286 33092 43048 48429 49638 64572 66184 74457 86096 96858 99276 129144 132368 148914 193716 198552 258288 297828 387432 397104 595656 774864 1191312 44517013 89034026 133551039 178068052 267102078 356136104 400653117 534204156 712272208 801306234 1068408312 1602612468 2136816624 3205224936 6410449872