Search a number
-
+
213489844932 = 2237131925967137
BaseRepresentation
bin1100011011010011111…
…1001000001011000100
3202102001110210210212210
43012310333020023010
511444211400014212
6242024220143420
721265322511660
oct3066477101304
9672043723783
10213489844932
11825a44a7381
1235461397b70
131719402b940
14a49391b8a0
1558478d553c
hex31b4fc82c4

213489844932 has 576 divisors, whose sum is σ = 672729200640. Its totient is φ = 51277805568.

The previous prime is 213489844861. The next prime is 213489844961. The reversal of 213489844932 is 239448984312.

It is a happy number.

213489844932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1558319968 + ... + 1558320104.

It is an arithmetic number, because the mean of its divisors is an integer number (1167932640).

Almost surely, 2213489844932 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 213489844932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336364600320).

213489844932 is an abundant number, since it is smaller than the sum of its proper divisors (459239355708).

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

213489844932 is a wasteful number, since it uses less digits than its factorization.

213489844932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The spelling of 213489844932 in words is "two hundred thirteen billion, four hundred eighty-nine million, eight hundred forty-four thousand, nine hundred thirty-two".