Search a number
-
+
68347948032 = 2103271326269
BaseRepresentation
bin111111101001110110…
…101110110000000000
320112102021201111121200
4333221312232300000
52104434033314112
651222033421200
74636503654420
oct775166566000
9215367644550
1068347948032
1126a936a8a71
12112b570a800
1365a30b8500
143445452480
151ba057dcdc
hexfe9daec00

68347948032 has 396 divisors, whose sum is σ = 244269820080. Its totient is φ = 18022957056.

The previous prime is 68347947937. The next prime is 68347948063. The reversal of 68347948032 is 23084974386.

68347948032 is a `hidden beast` number, since 68 + 3 + 4 + 79 + 480 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68347948032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10899394 + ... + 10905662.

It is an arithmetic number, because the mean of its divisors is an integer number (616842980).

Almost surely, 268347948032 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 68347948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122134910040).

68347948032 is an abundant number, since it is smaller than the sum of its proper divisors (175921872048).

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

68347948032 is a wasteful number, since it uses less digits than its factorization.

68347948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 68347948032 in words is "sixty-eight billion, three hundred forty-seven million, nine hundred forty-eight thousand, thirty-two".