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1068158916 = 2232112325099
BaseRepresentation
bin111111101010101…
…100111111000100
32202102221002120100
4333222230333010
54141422041131
6253554204100
735320125636
oct7752547704
92672832510
101068158916
114a8a47670
12259883630
131403b29c6
14a1c10a56
1563b967e6
hex3faacfc4

1068158916 has 108 divisors (see below), whose sum is σ = 3079767600. Its totient is φ = 309550560.

The previous prime is 1068158911. The next prime is 1068158933. The reversal of 1068158916 is 6198518601.

1068158916 is a `hidden beast` number, since 1 + 0 + 68 + 1 + 589 + 1 + 6 = 666.

It is a super-2 number, since 2×10681589162 = 2281926939660590112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1068158911) 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 35 ways as a sum of consecutive naturals, for example, 206935 + ... + 212033.

Almost surely, 21068158916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068158916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539883800).

1068158916 is an abundant number, since it is smaller than the sum of its proper divisors (2011608684).

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

1068158916 is a wasteful number, since it uses less digits than its factorization.

1068158916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1068158916 is about 32682.7005616121. The cubic root of 1068158916 is about 1022.2221564815. Note that the first 3 decimals are identical.

The spelling of 1068158916 in words is "one billion, sixty-eight million, one hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 529 759 828 1012 1058 1518 1587 2116 2277 3036 3174 4554 4761 5099 5819 6348 9108 9522 10198 11638 15297 17457 19044 20396 23276 30594 34914 45891 52371 56089 61188 69828 91782 104742 112178 117277 168267 183564 209484 224356 234554 336534 351831 469108 504801 673068 703662 1009602 1055493 1290047 1407324 2019204 2110986 2580094 2697371 3870141 4221972 5160188 5394742 7740282 8092113 10789484 11610423 15480564 16184226 23220846 24276339 29671081 32368452 46441692 48552678 59342162 89013243 97105356 118684324 178026486 267039729 356052972 534079458 1068158916