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6068093391360 = 2933572112131767
BaseRepresentation
bin101100001001101011010…
…0011010001001000000000
3210111002210212021020102000
41120103112203101020000
51243404423402010420
620523351004424000
71164256003535100
oct130232643211000
923432725236360
106068093391360
111a2a511585200
12820054248000
133502ac79b850
1416d9a94db200
15a7ca1ed2690
hex584d68d1200

6068093391360 has 5760 divisors, whose sum is σ = 31895016088320. Its totient is φ = 1079094804480.

The previous prime is 6068093391319. The next prime is 6068093391383. The reversal of 6068093391360 is 631933908606.

It is a happy number.

6068093391360 is a `hidden beast` number, since 60 + 6 + 80 + 93 + 391 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×60680933913602 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6068093391297 and 6068093391306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 90568558047 + ... + 90568558113.

It is an arithmetic number, because the mean of its divisors is an integer number (5537329182).

Almost surely, 26068093391360 is an apocalyptic number.

6068093391360 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 6068093391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15947508044160).

6068093391360 is an abundant number, since it is smaller than the sum of its proper divisors (25826922696960).

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

6068093391360 is a wasteful number, since it uses less digits than its factorization.

6068093391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 6068093391360 in words is "six trillion, sixty-eight billion, ninety-three million, three hundred ninety-one thousand, three hundred sixty".