Search a number
-
+
10452144320 = 26532662951
BaseRepresentation
bin10011011101111111…
…10001000011000000
3222222102112221112022
421232333301003000
5132401222104240
64445053421012
7520004521652
oct115677610300
928872487468
1010452144320
114483a65802
12203849a768
13ca75881a7
1471221c6d2
154129219b5
hex26eff10c0

10452144320 has 28 divisors (see below), whose sum is σ = 24889169424. Its totient is φ = 4180857600.

The previous prime is 10452144299. The next prime is 10452144347. The reversal of 10452144320 is 2344125401.

10452144320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104521443202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10452144320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16331156 + ... + 16331795.

It is an arithmetic number, because the mean of its divisors is an integer number (888898908).

Almost surely, 210452144320 is an apocalyptic number.

10452144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10452144320 is an abundant number, since it is smaller than the sum of its proper divisors (14437025104).

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

10452144320 is an equidigital number, since it uses as much as digits as its factorization.

10452144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32662968 (or 32662958 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10452144320 its reverse (2344125401), we get a palindrome (12796269721).

It can be divided in two parts, 104521 and 44320, that added together give a palindrome (148841).

The spelling of 10452144320 in words is "ten billion, four hundred fifty-two million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 32662951 65325902 130651804 163314755 261303608 326629510 522607216 653259020 1045214432 1306518040 2090428864 2613036080 5226072160 10452144320