Search a number
-
+
796824000000 = 29335671731
BaseRepresentation
bin10111001100001100110…
…10010101011000000000
32211011202000221020001000
423212012122111120000
5101023343421000000
61410020023412000
7111366020150550
oct13460632253000
92734660836030
10796824000000
11287a27413a06
1210a51a8b4000
135a1a8c91b32
142a7d0627160
1515ad9585000
hexb986695600

796824000000 has 2240 divisors, whose sum is σ = 3682752860160. Its totient is φ = 165888000000.

The previous prime is 796823999989. The next prime is 796824000019. The reversal of 796824000000 is 428697.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25703999985 + ... + 25704000015.

Almost surely, 2796824000000 is an apocalyptic number.

796824000000 is a gapful number since it is divisible by the number (70) 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 796824000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841376430080).

796824000000 is an abundant number, since it is smaller than the sum of its proper divisors (2885928860160).

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

796824000000 is an frugal number, since it uses more digits than its factorization.

796824000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 796824000000 its reverse (428697), we get a palindrome (796824428697).

The spelling of 796824000000 in words is "seven hundred ninety-six billion, eight hundred twenty-four million", and thus it is an aban number.