Search a number
-
+
68411121408 = 2832731293467
BaseRepresentation
bin111111101101100111…
…101101111100000000
320112120200121001012100
4333231213231330000
52110101221341113
651232211430400
74641201636360
oct775547557400
9215520531170
1068411121408
1127016327073
12113128b5400
1365b32069c6
14344d9b89a0
151ba5dabd73
hexfed9edf00

68411121408 has 432 divisors, whose sum is σ = 233990055936. Its totient is φ = 18810593280.

The previous prime is 68411121397. The next prime is 68411121413. The reversal of 68411121408 is 80412111486.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146490391 + ... + 146490857.

It is an arithmetic number, because the mean of its divisors is an integer number (541643648).

Almost surely, 268411121408 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 68411121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116995027968).

68411121408 is an abundant number, since it is smaller than the sum of its proper divisors (165578934528).

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

68411121408 is a wasteful number, since it uses less digits than its factorization.

68411121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 68411121408 in words is "sixty-eight billion, four hundred eleven million, one hundred twenty-one thousand, four hundred eight".