Search a number
-
+
538932650031360 = 2838513172192931
BaseRepresentation
bin111101010001010000000100…
…1001010011011100100000000
32121200012110101000020100000000
41322202200021022123210000
51031114333031402000420
65150114124100000000
7221342412321131604
oct17242401112334400
92550173330210000
10538932650031360
111467a2064aa7742
1250540912090000
131a194191587970
14971269d81d504
154248d1d257690
hex1ea280929b900

538932650031360 has 7776 divisors, whose sum is σ = 2489883471129600. Its totient is φ = 110522495139840.

The previous prime is 538932650031233. The next prime is 538932650031403. The reversal of 538932650031360 is 63130056239835.

538932650031360 is a `hidden beast` number, since 5 + 3 + 8 + 9 + 3 + 265 + 0 + 0 + 313 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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 = 538932650031297 and 538932650031306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 17384924194545 + ... + 17384924194575.

Almost surely, 2538932650031360 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 538932650031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244941735564800).

538932650031360 is an abundant number, since it is smaller than the sum of its proper divisors (1950950821098240).

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

538932650031360 is a wasteful number, since it uses less digits than its factorization.

538932650031360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 538932650031360 in words is "five hundred thirty-eight trillion, nine hundred thirty-two billion, six hundred fifty million, thirty-one thousand, three hundred sixty".