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1068018816 = 2736414339
BaseRepresentation
bin111111101010001…
…010110010000000
32202102122222101110
4333222022302000
54141403100231
6253551203320
735316003324
oct7752126200
92672588343
101068018816
114a8961387
12259816540
13140363cc7
14a1bb5984
1563b6a046
hex3fa8ac80

1068018816 has 64 divisors (see below), whose sum is σ = 2842005600. Its totient is φ = 355368960.

The previous prime is 1068018773. The next prime is 1068018841. The reversal of 1068018816 is 6188108601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10680188162 = 2281328382660083712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243975 + ... + 248313.

Almost surely, 21068018816 is an apocalyptic number.

1068018816 is a gapful number since it is divisible by the number (16) 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 1068018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421002800).

1068018816 is an abundant number, since it is smaller than the sum of its proper divisors (1773986784).

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

1068018816 is an equidigital number, since it uses as much as digits as its factorization.

1068018816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 1068018816 is about 32680.5571555933. The cubic root of 1068018816 is about 1022.1774628865.

The spelling of 1068018816 in words is "one billion, sixty-eight million, eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 641 1282 1923 2564 3846 4339 5128 7692 8678 10256 13017 15384 17356 20512 26034 30768 34712 41024 52068 61536 69424 82048 104136 123072 138848 208272 246144 277696 416544 555392 833088 1666176 2781299 5562598 8343897 11125196 16687794 22250392 33375588 44500784 66751176 89001568 133502352 178003136 267004704 356006272 534009408 1068018816