Search a number
-
+
5381926318080 = 212325138327061
BaseRepresentation
bin100111001010001001111…
…0011100111000000000000
3201001111200200212022210100
41032110103303213000000
51201134141114134310
615240231155002400
71063555102621014
oct116242363470000
921044620768710
105381926318080
11179550a111154
1272b078299400
1330068a144660
141486b541c544
1594ee2559ec0
hex4e513ce7000

5381926318080 has 624 divisors, whose sum is σ = 20332872626976. Its totient is φ = 1308772270080.

The previous prime is 5381926318061. The next prime is 5381926318099. The reversal of 5381926318080 is 808136291835.

5381926318080 is a `hidden beast` number, since 5 + 381 + 9 + 2 + 6 + 3 + 180 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5381926318061) and next prime (5381926318099).

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 198867750 + ... + 198894810.

It is an arithmetic number, because the mean of its divisors is an integer number (32584731774).

Almost surely, 25381926318080 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 5381926318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166436313488).

5381926318080 is an abundant number, since it is smaller than the sum of its proper divisors (14950946308896).

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

5381926318080 is a wasteful number, since it uses less digits than its factorization.

5381926318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27192 (or 27167 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 5381926318080 in words is "five trillion, three hundred eighty-one billion, nine hundred twenty-six million, three hundred eighteen thousand, eighty".