Search a number
-
+
544405645680 = 2435131924111789
BaseRepresentation
bin1111110110000010001…
…10101110100101110000
31221001012120021020110020
413323001012232211300
532404420321130210
61054032502203440
754221610431241
oct7730106564560
91831176236406
10544405645680
1119a976881326
1289614423580
133c44cb8bc70
141c4c6978cc8
15e2642bb770
hex7ec11ae970

544405645680 has 480 divisors, whose sum is σ = 1965119849280. Its totient is φ = 123847557120.

The previous prime is 544405645657. The next prime is 544405645697. The reversal of 544405645680 is 86546504445.

544405645680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46173226 + ... + 46185014.

It is an arithmetic number, because the mean of its divisors is an integer number (4093999686).

Almost surely, 2544405645680 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 544405645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982559924640).

544405645680 is an abundant number, since it is smaller than the sum of its proper divisors (1420714203600).

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

544405645680 is a wasteful number, since it uses less digits than its factorization.

544405645680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11897 (or 11872 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 51.

The spelling of 544405645680 in words is "five hundred forty-four billion, four hundred five million, six hundred forty-five thousand, six hundred eighty".