Search a number
-
+
5199367152672 = 25327211416789137
BaseRepresentation
bin100101110101001001001…
…1011101010010000100000
3200102001110211120211120200
41023222102123222100200
51140141300442341142
615020320054305200
71044433110412200
oct113522233522040
920361424524520
105199367152672
111725048235140
126bb809658200
132b93b5256864
1413d9177b0400
15903aa33a64c
hex4ba926ea420

5199367152672 has 1728 divisors, whose sum is σ = 19871003617920. Its totient is φ = 1273931366400.

The previous prime is 5199367152613. The next prime is 5199367152677. The reversal of 5199367152672 is 2762517639915.

5199367152672 is a `hidden beast` number, since 5 + 1 + 9 + 9 + 36 + 7 + 1 + 526 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5199367152677) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37951584988 + ... + 37951585124.

It is an arithmetic number, because the mean of its divisors is an integer number (11499423390).

Almost surely, 25199367152672 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 5199367152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9935501808960).

5199367152672 is an abundant number, since it is smaller than the sum of its proper divisors (14671636465248).

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

5199367152672 is a wasteful number, since it uses less digits than its factorization.

5199367152672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The spelling of 5199367152672 in words is "five trillion, one hundred ninety-nine billion, three hundred sixty-seven million, one hundred fifty-two thousand, six hundred seventy-two".