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68067216000000 = 210355674161
BaseRepresentation
bin11110111101000001000100…
…01110110000010000000000
322221000011101022112111200000
433132200202032300100000
532410203124244000000
6400433351454400000
720223460031505360
oct1736404216602000
9287004338474600
1068067216000000
111a763164a17a68
127773a70b00000
132bc9931ba25c9
1412b4683d709a0
157d08b7a00000
hex3de8223b0400

68067216000000 has 3696 divisors, whose sum is σ = 303161936977536. Its totient is φ = 14929920000000.

The previous prime is 68067215999977. The next prime is 68067216000079. The reversal of 68067216000000 is 61276086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 335 ways as a sum of consecutive naturals, for example, 1115855999970 + ... + 1115856000030.

Almost surely, 268067216000000 is an apocalyptic number.

68067216000000 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 68067216000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580968488768).

68067216000000 is an abundant number, since it is smaller than the sum of its proper divisors (235094720977536).

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

68067216000000 is an frugal number, since it uses more digits than its factorization.

68067216000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 68067216000000 its reverse (61276086), we get a palindrome (68067277276086).

The spelling of 68067216000000 in words is "sixty-eight trillion, sixty-seven billion, two hundred sixteen million", and thus it is an aban number.