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68978093184 = 273371113127157
BaseRepresentation
bin100000000111101101…
…0100010110010000000
320121001012110012021000
41000033122202302000
52112231342440214
651404343532000
74661225055330
oct1001732426200
9217035405230
1068978093184
1127287376390
121145075a000
13667380a170
1434a50050c0
151bdaa53809
hex100f6a2c80

68978093184 has 1024 divisors, whose sum is σ = 277246771200. Its totient is φ = 16303472640.

The previous prime is 68978093179. The next prime is 68978093189. The reversal of 68978093184 is 48139087986.

It is an interprime number because it is at equal distance from previous prime (68978093179) and next prime (68978093189).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68978093189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 439350834 + ... + 439350990.

It is an arithmetic number, because the mean of its divisors is an integer number (270748800).

Almost surely, 268978093184 is an apocalyptic number.

68978093184 is a gapful number since it is divisible by the number (64) 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 68978093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138623385600).

68978093184 is an abundant number, since it is smaller than the sum of its proper divisors (208268678016).

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

68978093184 is a wasteful number, since it uses less digits than its factorization.

68978093184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 68978093184 in words is "sixty-eight billion, nine hundred seventy-eight million, ninety-three thousand, one hundred eighty-four".