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1068307640064 = 28337241107719
BaseRepresentation
bin11111000101111000001…
…10001110111100000000
310210010111012022001222000
433202330012032330000
5120000343223440224
62134435044144000
7140116442053500
oct17427406167400
93703435261860
101068307640064
113820808a2995
12153066098000
1379982c10282
14399c63a5a00
151cbc84d20c9
hexf8bc18ef00

1068307640064 has 864 divisors, whose sum is σ = 3805058073600. Its totient is φ = 294592757760.

The previous prime is 1068307640063. The next prime is 1068307640077. The reversal of 1068307640064 is 4600467038601.

It is a happy number.

1068307640064 is a `hidden beast` number, since 106 + 83 + 0 + 7 + 6 + 400 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10683076400642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068307640063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1485823897 + ... + 1485824615.

It is an arithmetic number, because the mean of its divisors is an integer number (4404002400).

Almost surely, 21068307640064 is an apocalyptic number.

1068307640064 is a gapful number since it is divisible by the number (14) 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 1068307640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902529036800).

1068307640064 is an abundant number, since it is smaller than the sum of its proper divisors (2736750433536).

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

1068307640064 is a wasteful number, since it uses less digits than its factorization.

1068307640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1068307640064 in words is "one trillion, sixty-eight billion, three hundred seven million, six hundred forty thousand, sixty-four".