Search a number
-
+
6864991370380 = 2251113103912231889
BaseRepresentation
bin110001111100110000101…
…0111110011110010001100
3220022021202001101222120201
41203321201113303302030
51344434000242323010
622333422234023244
71305656612564143
oct143714127636214
926267661358521
106864991370380
1122074767276a0
1292a593877b24
133aa49ab93340
1419a3a58a075a
15bd892ccc23a
hex63e615f3c8c

6864991370380 has 192 divisors, whose sum is σ = 16975990886400. Its totient is φ = 2299014881280.

The previous prime is 6864991370329. The next prime is 6864991370381. The reversal of 6864991370380 is 830731994686.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6864991370381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3634192476 + ... + 3634194364.

It is an arithmetic number, because the mean of its divisors is an integer number (88416619200).

Almost surely, 26864991370380 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 6864991370380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487995443200).

6864991370380 is an abundant number, since it is smaller than the sum of its proper divisors (10110999516020).

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

6864991370380 is a wasteful number, since it uses less digits than its factorization.

6864991370380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

The spelling of 6864991370380 in words is "six trillion, eight hundred sixty-four billion, nine hundred ninety-one million, three hundred seventy thousand, three hundred eighty".