Search a number
-
+
685441680192 = 26333747307743
BaseRepresentation
bin10011111100101111000…
…00100000001101000000
32102112020121110010101000
421332113200200031000
542212241032231232
61242515414012000
7100343612102313
oct11762740401500
92375217403330
10685441680192
1124476aa60535
12b0a15047000
134c838296a19
1425265a1497a
1512c6ae3b27c
hex9f97820340

685441680192 has 448 divisors, whose sum is σ = 2123304099840. Its totient is φ = 216574912512.

The previous prime is 685441680139. The next prime is 685441680199. The reversal of 685441680192 is 291086144586.

685441680192 is a `hidden beast` number, since 6 + 8 + 5 + 441 + 6 + 8 + 0 + 192 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685441680199) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922532173 + ... + 922532915.

It is an arithmetic number, because the mean of its divisors is an integer number (4739518080).

Almost surely, 2685441680192 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 685441680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061652049920).

685441680192 is an abundant number, since it is smaller than the sum of its proper divisors (1437862419648).

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

685441680192 is a wasteful number, since it uses less digits than its factorization.

685441680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 685441680192 in words is "six hundred eighty-five billion, four hundred forty-one million, six hundred eighty thousand, one hundred ninety-two".