Search a number
-
+
68282163144 = 2332131731138427
BaseRepresentation
bin111111100101111011…
…110001111111001000
320112020200221021201100
4333211323301333020
52104320213210034
651211323421400
74635044544636
oct774573617710
9215220837640
1068282163144
1126a5a556898
1211297684860
136592594440
14343a80a356
151b998d7099
hexfe5ef1fc8

68282163144 has 192 divisors, whose sum is σ = 217675261440. Its totient is φ = 19136010240.

The previous prime is 68282163137. The next prime is 68282163151. The reversal of 68282163144 is 44136128286.

68282163144 is a `hidden beast` number, since 6 + 8 + 2 + 8 + 2 + 1 + 631 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (68282163137) and next prime (68282163151).

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

It is a self number, because there is not a number n which added to its sum of digits gives 68282163144.

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, 424059 + ... + 562485.

It is an arithmetic number, because the mean of its divisors is an integer number (1133725320).

Almost surely, 268282163144 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 68282163144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108837630720).

68282163144 is an abundant number, since it is smaller than the sum of its proper divisors (149393098296).

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

68282163144 is a wasteful number, since it uses less digits than its factorization.

68282163144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138500 (or 138493 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 68282163144 in words is "sixty-eight billion, two hundred eighty-two million, one hundred sixty-three thousand, one hundred forty-four".