Search a number
-
+
681068113920 = 2123551071279
BaseRepresentation
bin10011110100100101101…
…00101011000000000000
32102002221210210221100000
421322102310223000000
542124311414121140
61240513421200000
7100130334310245
oct11722264530000
92362853727300
10681068113920
11242926216457
12abbb4400000
134c2bc15a69c
1424d6cc1b5cc
1512ab1ec4a30
hex9e92d2b000

681068113920 has 624 divisors, whose sum is σ = 2472995266560. Its totient is φ = 179780124672.

The previous prime is 681068113889. The next prime is 681068113931. The reversal of 681068113920 is 29311860186.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532499841 + ... + 532501119.

It is an arithmetic number, because the mean of its divisors is an integer number (3963133440).

Almost surely, 2681068113920 is an apocalyptic number.

681068113920 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 681068113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236497633280).

681068113920 is an abundant number, since it is smaller than the sum of its proper divisors (1791927152640).

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

681068113920 is a wasteful number, since it uses less digits than its factorization.

681068113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 681068113920 in words is "six hundred eighty-one billion, sixty-eight million, one hundred thirteen thousand, nine hundred twenty".