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68241498480 = 24325292251449
BaseRepresentation
bin111111100011100000…
…101010000101110000
320112010212102022021200
4333203200222011300
52104224310422410
651203312051200
74634042111031
oct774340520560
9215125368250
1068241498480
1126a39601931
1211285b33b00
1365870271cc
143435262a88
151b960533c0
hexfe382a170

68241498480 has 360 divisors, whose sum is σ = 238829245200. Its totient is φ = 17461248000.

The previous prime is 68241498361. The next prime is 68241498511. The reversal of 68241498480 is 8489414286.

It is a happy number.

68241498480 is a `hidden beast` number, since 6 + 82 + 41 + 49 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×682414984802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 151985296 + ... + 151985744.

It is an arithmetic number, because the mean of its divisors is an integer number (663414570).

Almost surely, 268241498480 is an apocalyptic number.

68241498480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68241498480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119414622600).

68241498480 is an abundant number, since it is smaller than the sum of its proper divisors (170587746720).

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

68241498480 is a wasteful number, since it uses less digits than its factorization.

68241498480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 68241498480 in words is "sixty-eight billion, two hundred forty-one million, four hundred ninety-eight thousand, four hundred eighty".