Search a number
-
+
116320423680 = 2833513612473
BaseRepresentation
bin110110001010100111…
…1001100111100000000
3102010020120101202201000
41230111033030330000
53401211012024210
6125234210212000
711255346200436
oct1542517147400
9363216352630
10116320423680
1145370934a5a
121a663584000
13ac79a94986
1458b67a0d56
15305be25ac0
hex1b153ccf00

116320423680 has 288 divisors, whose sum is σ = 413246272320. Its totient is φ = 30983454720.

The previous prime is 116320423631. The next prime is 116320423693. The reversal of 116320423680 is 86324023611.

116320423680 is a `hidden beast` number, since 11 + 632 + 0 + 4 + 2 + 3 + 6 + 8 + 0 = 666.

116320423680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47034924 + ... + 47037396.

It is an arithmetic number, because the mean of its divisors is an integer number (1434882890).

Almost surely, 2116320423680 is an apocalyptic number.

116320423680 is a gapful number since it is divisible by the number (10) 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 116320423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206623136160).

116320423680 is an abundant number, since it is smaller than the sum of its proper divisors (296925848640).

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

116320423680 is a wasteful number, since it uses less digits than its factorization.

116320423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 116320423680 in words is "one hundred sixteen billion, three hundred twenty million, four hundred twenty-three thousand, six hundred eighty".