Search a number
-
+
68430360960 = 27325132933119
BaseRepresentation
bin111111101110110001…
…000111000110000000
320112122000210111220100
4333232301013012000
52110121133022320
651234140042400
74641524320353
oct775661070600
9215560714810
1068430360960
1127026178025
1211319233400
1365b71b1c60
14345238629a
151ba790c790
hexfeec47180

68430360960 has 384 divisors, whose sum is σ = 255425788800. Its totient is φ = 16781524992.

The previous prime is 68430360953. The next prime is 68430360961. The reversal of 68430360960 is 6906303486.

68430360960 is a `hidden beast` number, since 6 + 8 + 4 + 30 + 3 + 609 + 6 + 0 = 666.

68430360960 is digitally balanced in base 2, 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 (384).

It is a super-2 number, since 2×684303609602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68430360961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21938281 + ... + 21941399.

It is an arithmetic number, because the mean of its divisors is an integer number (665171325).

Almost surely, 268430360960 is an apocalyptic number.

68430360960 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 68430360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127712894400).

68430360960 is an abundant number, since it is smaller than the sum of its proper divisors (186995427840).

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

68430360960 is a wasteful number, since it uses less digits than its factorization.

68430360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 68430360960 in words is "sixty-eight billion, four hundred thirty million, three hundred sixty thousand, nine hundred sixty".