Search a number
-
+
676886780700 = 22325213591496581
BaseRepresentation
bin10011101100110011001…
…10001001101100011100
32101201011101220012110200
421312121212021230130
542042231003440300
61234542452503500
766621612463344
oct11663146115434
92351141805420
10676886780700
1124107aa39969
12ab22801ab90
134baa3ab9310
1424a93783d24
1512919d81200
hex9d99989b1c

676886780700 has 432 divisors, whose sum is σ = 2339545572000. Its totient is φ = 162670233600.

The previous prime is 676886780699. The next prime is 676886780707. The reversal of 676886780700 is 7087688676.

676886780700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676886780707) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102851410 + ... + 102857990.

It is an arithmetic number, because the mean of its divisors is an integer number (5415614750).

Almost surely, 2676886780700 is an apocalyptic number.

676886780700 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 676886780700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169772786000).

676886780700 is an abundant number, since it is smaller than the sum of its proper divisors (1662658791300).

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

676886780700 is a wasteful number, since it uses less digits than its factorization.

676886780700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 676886780700 in words is "six hundred seventy-six billion, eight hundred eighty-six million, seven hundred eighty thousand, seven hundred".