Search a number
-
+
68739213312 = 21132721121737
BaseRepresentation
bin100000000000100101…
…1010010100000000000
320120102112221211200100
41000001023102200000
52111234214311222
651324531522400
74652264446500
oct1000113224000
9216375854610
1068739213312
1127174548400
12113a4759400
13663618c123
1434813c1a00
151bc4ab94ac
hex10012d2800

68739213312 has 1296 divisors, whose sum is σ = 276044981940. Its totient is φ = 16349921280.

The previous prime is 68739213293. The next prime is 68739213337. The reversal of 68739213312 is 21331293786.

It can be written as a sum of positive squares in 2 ways, for example, as 59504772096 + 9234441216 = 243936^2 + 96096^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1857816558 + ... + 1857816594.

Almost surely, 268739213312 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 68739213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138022490970).

68739213312 is an abundant number, since it is smaller than the sum of its proper divisors (207305768628).

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

68739213312 is a wasteful number, since it uses less digits than its factorization.

68739213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 68739213312 in words is "sixty-eight billion, seven hundred thirty-nine million, two hundred thirteen thousand, three hundred twelve".