Search a number
-
+
5198679680832 = 2632111511543017
BaseRepresentation
bin100101110100110100101…
…1101001010011101000000
3200101222200220222122111200
41023221221131022131000
51140133343444241312
615020123535341200
71044410062120131
oct113515135123500
920358626878450
105198679680832
1117248251723a0
126bb657381800
132b93059b29a1
1413d890377c88
1590369ce00dc
hex4ba6974a740

5198679680832 has 168 divisors, whose sum is σ = 16266508195392. Its totient is φ = 1574311987200.

The previous prime is 5198679680749. The next prime is 5198679680869. The reversal of 5198679680832 is 2380869768915.

5198679680832 is a `hidden beast` number, since 519 + 8 + 6 + 79 + 6 + 8 + 0 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9302188 + ... + 9845204.

It is an arithmetic number, because the mean of its divisors is an integer number (96824453544).

Almost surely, 25198679680832 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 5198679680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133254097696).

5198679680832 is an abundant number, since it is smaller than the sum of its proper divisors (11067828514560).

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

5198679680832 is a wasteful number, since it uses less digits than its factorization.

5198679680832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544557 (or 544544 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 5198679680832 in words is "five trillion, one hundred ninety-eight billion, six hundred seventy-nine million, six hundred eighty thousand, eight hundred thirty-two".