Search a number
-
+
5398436302560 = 253457216352153
BaseRepresentation
bin100111010001110101111…
…1000001100111011100000
3201010002022022022102210000
41032203223320030323200
51201421444143140220
615252001333140000
71065011166311400
oct116435370147340
921102268272700
105398436302560
1117a1511612924
1273230548a600
133020bb76a442
141493dddc4800
159565bbdc390
hex4e8ebe0cee0

5398436302560 has 720 divisors, whose sum is σ = 22298902906896. Its totient is φ = 1226334670848.

The previous prime is 5398436302549. The next prime is 5398436302577. The reversal of 5398436302560 is 652036348935.

5398436302560 is a `hidden beast` number, since 5 + 3 + 9 + 8 + 43 + 6 + 30 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×53984363025602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5398436302497 and 5398436302506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 103485444 + ... + 103537596.

Almost surely, 25398436302560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5398436302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11149451453448).

5398436302560 is an abundant number, since it is smaller than the sum of its proper divisors (16900466604336).

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

5398436302560 is a wasteful number, since it uses less digits than its factorization.

5398436302560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52357 (or 52333 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 5398436302560 in words is "five trillion, three hundred ninety-eight billion, four hundred thirty-six million, three hundred two thousand, five hundred sixty".