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1068543953568 = 253371341503659
BaseRepresentation
bin11111000110010100010…
…11101100101010100000
310210011002122222001011000
433203022023230222200
5120001334223003233
62134514325152000
7140125341513240
oct17431213545240
93704078861130
101068543953568
11382192228803
1215311125b600
13799bcb70150
1439a0991bb20
151cbde110d13
hexf8ca2ecaa0

1068543953568 has 768 divisors, whose sum is σ = 3943141171200. Its totient is φ = 273977303040.

The previous prime is 1068543953537. The next prime is 1068543953623. The reversal of 1068543953568 is 8653593458601.

It is a happy number.

1068543953568 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 5 + 4 + 39 + 535 + 68 = 666.

It is a super-2 number, since 2×10685439535682 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1621462423 + ... + 1621463081.

It is an arithmetic number, because the mean of its divisors is an integer number (5134298400).

Almost surely, 21068543953568 is an apocalyptic number.

1068543953568 is a gapful number since it is divisible by the number (18) 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 1068543953568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971570585600).

1068543953568 is an abundant number, since it is smaller than the sum of its proper divisors (2874597217632).

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

1068543953568 is a wasteful number, since it uses less digits than its factorization.

1068543953568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 1068543953568 in words is "one trillion, sixty-eight billion, five hundred forty-three million, nine hundred fifty-three thousand, five hundred sixty-eight".