Search a number
-
+
11153015253536 = 251332098354669
BaseRepresentation
bin1010001001001100001110…
…0000110010101000100000
31110111012212210211221102212
42202103003200302220200
52430212333401103121
635415342515301252
72230531054320242
oct242230340625040
943435783757385
1011153015253536
11360aa70396732
1213016422aa828
1362b9565988b0
142a7b47580092
151451aed4225b
hexa24c3832a20

11153015253536 has 48 divisors (see below), whose sum is σ = 23653908797400. Its totient is φ = 5145940789248.

The previous prime is 11153015253509. The next prime is 11153015253587. The reversal of 11153015253536 is 63535251035111.

It can be written as a sum of positive squares in 4 ways, for example, as 5830969267600 + 5322045985936 = 2414740^2 + 2306956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11153015253493 and 11153015253502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2842391 + ... + 5512278.

Almost surely, 211153015253536 is an apocalyptic number.

11153015253536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11153015253536 is an abundant number, since it is smaller than the sum of its proper divisors (12500893543864).

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

11153015253536 is a wasteful number, since it uses less digits than its factorization.

11153015253536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357901 (or 8357893 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 41.

Adding to 11153015253536 its reverse (63535251035111), we get a palindrome (74688266288647).

The spelling of 11153015253536 in words is "eleven trillion, one hundred fifty-three billion, fifteen million, two hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 3209 6418 12836 25672 41717 51344 83434 102688 166868 333736 667472 1334944 8354669 16709338 33418676 66837352 108610697 133674704 217221394 267349408 434442788 868885576 1737771152 3475542304 26810132821 53620265642 107240531284 214481062568 348531726673 428962125136 697063453346 857924250272 1394126906692 2788253813384 5576507626768 11153015253536