Search a number
-
+
641968239360 = 28357829
BaseRepresentation
bin10010101011110000100…
…10011111001100000000
32021101000212111111210210
421111320102133030000
541004222332124420
61210525515154120
764244400000000
oct11257022371400
92241025444723
10641968239360
11228291375a38
12a4501a45940
13486ca716936
1423100000000
1511a745419e0
hex957849f300

641968239360 has 648 divisors, whose sum is σ = 2474483119920. Its totient is φ = 141675749376.

The previous prime is 641968239313. The next prime is 641968239413. The reversal of 641968239360 is 63932869146.

It is a self number, because there is not a number n which added to its sum of digits gives 641968239360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22136835826 + ... + 22136835854.

It is an arithmetic number, because the mean of its divisors is an integer number (3818646790).

Almost surely, 2641968239360 is an apocalyptic number.

641968239360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641968239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237241559960).

641968239360 is an abundant number, since it is smaller than the sum of its proper divisors (1832514880560).

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

641968239360 is an frugal number, since it uses more digits than its factorization.

641968239360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 641968239360 in words is "six hundred forty-one billion, nine hundred sixty-eight million, two hundred thirty-nine thousand, three hundred sixty".