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1068046848 = 293211191109
BaseRepresentation
bin111111101010010…
…001101000000000
32202102201101211200
4333222101220000
54141404444343
6253551541200
735316151131
oct7752215000
92672641750
101068046848
114a8980450
1225982a800
131403739ab
14a1bc1c88
1563b734d3
hex3fa91a00

1068046848 has 240 divisors, whose sum is σ = 3542853600. Its totient is φ = 306339840.

The previous prime is 1068046841. The next prime is 1068046849. The reversal of 1068046848 is 8486408601.

1068046848 is a `hidden beast` number, since 106 + 80 + 468 + 4 + 8 = 666.

It is a super-2 number, since 2×10680468482 = 2281448139045470208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068046841) 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 23 ways as a sum of consecutive naturals, for example, 962518 + ... + 963626.

It is an arithmetic number, because the mean of its divisors is an integer number (14761890).

Almost surely, 21068046848 is an apocalyptic number.

1068046848 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 1068046848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771426800).

1068046848 is an abundant number, since it is smaller than the sum of its proper divisors (2474806752).

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

1068046848 is a wasteful number, since it uses less digits than its factorization.

1068046848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1068046848 is about 32680.9860316362. The cubic root of 1068046848 is about 1022.1864057464.

The spelling of 1068046848 in words is "one billion, sixty-eight million, forty-six thousand, eight hundred forty-eight".