Search a number
-
+
5408582804496 = 2434646012
BaseRepresentation
bin100111010110100100010…
…1010000010010000010000
3201011001111102202010210000
41032231020222002100100
51202103234144220441
615300400232010000
71065520503203604
oct116551052022020
921131442663700
105408582804496
1117a5848a9aa13
12734277530900
13303047900541
14149ac37a1504
1595a528882b6
hex4eb48a82410

5408582804496 has 75 divisors (see below), whose sum is σ = 15654250115053. Its totient is φ = 1802833027200.

The previous prime is 5408582804491. The next prime is 5408582804531. The reversal of 5408582804496 is 6944082858045.

The square root of 5408582804496 is 2325636.

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

5408582804496 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 582 + 8 + 0 + 4 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4886027310096 + 522555494400 = 2210436^2 + 722880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5408582804491) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 83690596 + ... + 83755196.

Almost surely, 25408582804496 is an apocalyptic number.

5408582804496 is the 2325636-th square number.

It is an amenable number.

5408582804496 is an abundant number, since it is smaller than the sum of its proper divisors (10245667310557).

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

5408582804496 is an frugal number, since it uses more digits than its factorization.

5408582804496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129222 (or 64606 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 5408582804496 in words is "five trillion, four hundred eight billion, five hundred eighty-two million, eight hundred four thousand, four hundred ninety-six".

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 64601 129202 193803 258404 387606 516808 581409 775212 1033616 1162818 1550424 1744227 2325636 3100848 3488454 4651272 5232681 6976908 9302544 10465362 13953816 20930724 27907632 41861448 83722896 4173289201 8346578402 12519867603 16693156804 25039735206 33386313608 37559602809 50079470412 66772627216 75119205618 100158940824 112678808427 150238411236 200317881648 225357616854 300476822472 338036425281 450715233708 600953644944 676072850562 901430467416 1352145701124 1802860934832 2704291402248 5408582804496