Search a number
-
+
544972428000 = 25335371113712
BaseRepresentation
bin1111110111000101110…
…00110101001011100000
31221002200001202202122000
413323202320311023200
532412100420144000
61054205030244000
754241632130650
oct7734270651340
91832601682560
10544972428000
111a0137801270
12897521b6600
133c510427110
141c53bd56360
15e298e27000
hex7ee2e352e0

544972428000 has 2304 divisors, whose sum is σ = 2701470320640. Its totient is φ = 103057920000.

The previous prime is 544972427983. The next prime is 544972428019. The reversal of 544972428000 is 824279445.

544972428000 is a `hidden beast` number, since 544 + 9 + 7 + 24 + 2 + 80 + 0 + 0 = 666.

544972428000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7675667965 + ... + 7675668035.

It is an arithmetic number, because the mean of its divisors is an integer number (1172513160).

Almost surely, 2544972428000 is an apocalyptic number.

544972428000 is a gapful number since it is divisible by the number (50) 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 544972428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350735160320).

544972428000 is an abundant number, since it is smaller than the sum of its proper divisors (2156497892640).

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

544972428000 is a wasteful number, since it uses less digits than its factorization.

544972428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 544972428000 in words is "five hundred forty-four billion, nine hundred seventy-two million, four hundred twenty-eight thousand".