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5300878049280 = 218355111789
BaseRepresentation
bin100110100100011010011…
…1101000000000000000000
3200202202111022020200100000
41031020310331000000000
51143322144240034110
615135104553200000
71054655461661112
oct115106475000000
920682438220300
105300878049280
1117640a9513220
12717419400000
132c5b41aa2258
141447c736d3b2
1592d4c0231c0
hex4d234f40000

5300878049280 has 1824 divisors, whose sum is σ = 22259632187520. Its totient is φ = 1195879956480.

The previous prime is 5300878049267. The next prime is 5300878049287. The reversal of 5300878049280 is 829408780035.

It is a happy number.

5300878049280 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 8 + 78 + 0 + 492 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5300878049287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59560427476 + ... + 59560427564.

Almost surely, 25300878049280 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 5300878049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11129816093760).

5300878049280 is an abundant number, since it is smaller than the sum of its proper divisors (16958754138240).

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

5300878049280 is an frugal number, since it uses more digits than its factorization.

5300878049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5300878049280 in words is "five trillion, three hundred billion, eight hundred seventy-eight million, forty-nine thousand, two hundred eighty".