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68396728320 = 214335172107
BaseRepresentation
bin111111101100110000…
…110100000000000000
320112112200111210121000
4333230300310000000
52110034030301240
651230535132000
74640635412124
oct775460640000
9215480453530
1068396728320
1127009196358
1211309b14000
1365b023769b
14344bb0d584
151ba49b7430
hexfecc34000

68396728320 has 720 divisors, whose sum is σ = 260741436480. Its totient is φ = 17005805568.

The previous prime is 68396728319. The next prime is 68396728321. The reversal of 68396728320 is 2382769386.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68396728319) and next prime (68396728321).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×683967283202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68396728321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639221707 + ... + 639221813.

It is an arithmetic number, because the mean of its divisors is an integer number (362140884).

Almost surely, 268396728320 is an apocalyptic number.

68396728320 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 68396728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130370718240).

68396728320 is an abundant number, since it is smaller than the sum of its proper divisors (192344708160).

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

68396728320 is a wasteful number, since it uses less digits than its factorization.

68396728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 68396728320 in words is "sixty-eight billion, three hundred ninety-six million, seven hundred twenty-eight thousand, three hundred twenty".