Search a number
-
+
68251131648 = 2832731136511
BaseRepresentation
bin111111100100000101…
…011001111100000000
320112011112112201111200
4333210011121330000
52104234242203043
651204254341200
74634220022050
oct774405317400
9215145481450
1068251131648
1126a43a91427
12112891ba800
13658901aacb
14343664d560
151b96d077d3
hexfe4159f00

68251131648 has 216 divisors, whose sum is σ = 232153399296. Its totient is φ = 18871142400.

The previous prime is 68251131577. The next prime is 68251131649. The reversal of 68251131648 is 84613115286.

68251131648 is a `hidden beast` number, since 6 + 82 + 511 + 3 + 16 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68251131649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431713 + ... + 568223.

It is an arithmetic number, because the mean of its divisors is an integer number (1074784256).

Almost surely, 268251131648 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 68251131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116076699648).

68251131648 is an abundant number, since it is smaller than the sum of its proper divisors (163902267648).

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

68251131648 is a wasteful number, since it uses less digits than its factorization.

68251131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136571 (or 136554 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 68251131648 in words is "sixty-eight billion, two hundred fifty-one million, one hundred thirty-one thousand, six hundred forty-eight".