Search a number
-
+
680711183680 = 265113122927241
BaseRepresentation
bin10011110011111011000…
…11000101110101000000
32102002000221012000002111
421321331203011311000
542123044030334210
61240414151025104
7100115441410303
oct11717543056500
92362027160074
10680711183680
11242762798490
12abb1496b194
134c263218c68
1424d37668b3a
1512a909bc88a
hex9e7d8c5d40

680711183680 has 224 divisors, whose sum is σ = 1833382241280. Its totient is φ = 238491648000.

The previous prime is 680711183639. The next prime is 680711183681. The reversal of 680711183680 is 86381117086.

680711183680 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 (680711183681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24974860 + ... + 25002100.

Almost surely, 2680711183680 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 680711183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916691120640).

680711183680 is an abundant number, since it is smaller than the sum of its proper divisors (1152671057600).

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

680711183680 is a wasteful number, since it uses less digits than its factorization.

680711183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27529 (or 27519 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The spelling of 680711183680 in words is "six hundred eighty billion, seven hundred eleven million, one hundred eighty-three thousand, six hundred eighty".