Search a number
-
+
5452411392000 = 21232538111459
BaseRepresentation
bin100111101010111110100…
…0010110101000000000000
3201022020121220222001222200
41033111331002311000000
51203313014304021000
615332445254433200
71101631560100236
oct117257502650000
921266556861880
105452411392000
11181239a0a5461
12740869662800
13307210c192a1
1414bc80622956
1596c6a536500
hex4f57d0b5000

5452411392000 has 624 divisors, whose sum is σ = 19693085280960. Its totient is φ = 1451188224000.

The previous prime is 5452411391993. The next prime is 5452411392031. The reversal of 5452411392000 is 2931142545.

5452411392000 is a `hidden beast` number, since 5 + 4 + 5 + 2 + 411 + 39 + 200 + 0 = 666.

It is a super-3 number, since 3×54524113920003 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3737087271 + ... + 3737088729.

It is an arithmetic number, because the mean of its divisors is an integer number (31559431540).

Almost surely, 25452411392000 is an apocalyptic number.

5452411392000 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 5452411392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846542640480).

5452411392000 is an abundant number, since it is smaller than the sum of its proper divisors (14240673888960).

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

5452411392000 is a wasteful number, since it uses less digits than its factorization.

5452411392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5452411392000 in words is "five trillion, four hundred fifty-two billion, four hundred eleven million, three hundred ninety-two thousand".