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6485403024 = 243422372
BaseRepresentation
bin1100000101000111…
…10110010110010000
3121201222102121110000
412002203312112100
5101240230344044
62551312410000
7316500005352
oct60243662620
917658377400
106485403024
112828928311
12130bb46900
137c480caa9
144574850d2
1527e56ad69
hex1828f6590

6485403024 has 75 divisors (see below), whose sum is σ = 18779032657. Its totient is φ = 2160834624.

The previous prime is 6485403017. The next prime is 6485403047. The reversal of 6485403024 is 4203045846.

The square root of 6485403024 is 80532.

It is a perfect power (a square), and thus also a powerful number.

6485403024 is a `hidden beast` number, since 64 + 8 + 540 + 30 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5158112400 + 1327290624 = 71820^2 + 36432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6485403024.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2898034 + ... + 2900270.

Almost surely, 26485403024 is an apocalyptic number.

6485403024 is the 80532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6485403024

6485403024 is an abundant number, since it is smaller than the sum of its proper divisors (12293629633).

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

6485403024 is an frugal number, since it uses more digits than its factorization.

6485403024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The cubic root of 6485403024 is about 1864.8575217172.

Multiplying 6485403024 by its sum of digits (36), we get a square (233474508864 = 4831922).

6485403024 divided by its sum of digits (36) gives a square (180150084 = 134222).

The spelling of 6485403024 in words is "six billion, four hundred eighty-five million, four hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2237 4474 6711 8948 13422 17896 20133 26844 35792 40266 53688 60399 80532 107376 120798 161064 181197 241596 322128 362394 483192 724788 966384 1449576 2899152 5004169 10008338 15012507 20016676 30025014 40033352 45037521 60050028 80066704 90075042 120100056 135112563 180150084 240200112 270225126 360300168 405337689 540450252 720600336 810675378 1080900504 1621350756 2161801008 3242701512 6485403024