Search a number
-
+
5532011434656 = 2532721753223621
BaseRepresentation
bin101000010000000010110…
…0100111001001010100000
3201120212002101111012122200
41100200011210321022200
51211114024411402111
615433212043533200
71110450254225400
oct120400544711240
921525071435580
105532011434656
111843127265683
1275418352a200
13311888226045
14151a72208800
1598d7884e256
hex508059392a0

5532011434656 has 216 divisors, whose sum is σ = 18310612578804. Its totient is φ = 1579665991680.

The previous prime is 5532011434619. The next prime is 5532011434669. The reversal of 5532011434656 is 6564341102355.

It is a happy number.

5532011434656 is a `hidden beast` number, since 5 + 5 + 3 + 201 + 1 + 434 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5478689235600 + 53322199056 = 2340660^2 + 230916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24626526 + ... + 24850146.

Almost surely, 25532011434656 is an apocalyptic number.

5532011434656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5532011434656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155306289402).

5532011434656 is an abundant number, since it is smaller than the sum of its proper divisors (12778601144148).

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

5532011434656 is a wasteful number, since it uses less digits than its factorization.

5532011434656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225404 (or 225386 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 5532011434656 in words is "five trillion, five hundred thirty-two billion, eleven million, four hundred thirty-four thousand, six hundred fifty-six".