Search a number
-
+
2196364367232 = 27347127238291
BaseRepresentation
bin11111111101100001100…
…001001001010110000000
321202222012102001020220000
4133331201201021112000
5241441123234222412
64400555034520000
7314452646041440
oct37754141112600
97688172036800
102196364367232
11777522476302
122b5805b96000
1312c1685a8649
1478439b88120
153c1ec1a24dc
hex1ff61849580

2196364367232 has 320 divisors, whose sum is σ = 7528959651840. Its totient is φ = 622588861440.

The previous prime is 2196364367207. The next prime is 2196364367233. The reversal of 2196364367232 is 2327634636912.

2196364367232 is a `hidden beast` number, since 2 + 19 + 6 + 36 + 4 + 367 + 232 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196364367233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9098007 + ... + 9336297.

It is an arithmetic number, because the mean of its divisors is an integer number (23527998912).

Almost surely, 22196364367232 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 2196364367232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764479825920).

2196364367232 is an abundant number, since it is smaller than the sum of its proper divisors (5332595284608).

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

2196364367232 is a wasteful number, since it uses less digits than its factorization.

2196364367232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238451 (or 238430 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 54.

The spelling of 2196364367232 in words is "two trillion, one hundred ninety-six billion, three hundred sixty-four million, three hundred sixty-seven thousand, two hundred thirty-two".