Search a number
-
+
5573855868672 = 283713833312903
BaseRepresentation
bin101000100011100001110…
…1100101111011100000000
3201201212002121011200222010
41101013003230233130000
51212310224100244142
615504332151212520
71113461226110010
oct121070354573400
921655077150863
105573855868672
11185994a367253
12760301077140
133157c6455480
14153ac1737c40
1599ec7219e9c
hex511c3b2f700

5573855868672 has 576 divisors, whose sum is σ = 18540135161856. Its totient is φ = 1447430307840.

The previous prime is 5573855868671. The next prime is 5573855868677. The reversal of 5573855868672 is 2768685583755.

It is a super-2 number, since 2×55738558686722 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5573855868594 and 5573855868603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5573855868671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1920031573 + ... + 1920034475.

It is an arithmetic number, because the mean of its divisors is an integer number (32187734656).

Almost surely, 25573855868672 is an apocalyptic number.

5573855868672 is a gapful number since it is divisible by the number (52) 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 5573855868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9270067580928).

5573855868672 is an abundant number, since it is smaller than the sum of its proper divisors (12966279293184).

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

5573855868672 is a wasteful number, since it uses less digits than its factorization.

5573855868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3342 counting only the distinct ones).

The product of its digits is 3386880000, while the sum is 75.

The spelling of 5573855868672 in words is "five trillion, five hundred seventy-three billion, eight hundred fifty-five million, eight hundred sixty-eight thousand, six hundred seventy-two".