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1068145848 = 2332711192667
BaseRepresentation
bin111111101010101…
…001110010111000
32202102220102122100
4333222221302320
54141421131343
6253554023400
735320042560
oct7752516270
92672812570
101068145848
114a8a38870
12259877b60
131403a9a83
14a1c09da0
1563b929d3
hex3faa9cb8

1068145848 has 96 divisors (see below), whose sum is σ = 3606744960. Its totient is φ = 277439040.

The previous prime is 1068145847. The next prime is 1068145849. The reversal of 1068145848 is 8485418601.

1068145848 is a `hidden beast` number, since 1 + 0 + 68 + 1 + 4 + 584 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1068145847) and next prime (1068145849).

It is a super-2 number, since 2×10681458482 = 2281871105199278208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068145847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90790 + ... + 101877.

It is an arithmetic number, because the mean of its divisors is an integer number (37570260).

Almost surely, 21068145848 is an apocalyptic number.

1068145848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1068145848 is an abundant number, since it is smaller than the sum of its proper divisors (2538599112).

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

1068145848 is a wasteful number, since it uses less digits than its factorization.

1068145848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192697 (or 192690 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1068145848 is about 32682.5006387210. The cubic root of 1068145848 is about 1022.2179877966.

The spelling of 1068145848 in words is "one billion, sixty-eight million, one hundred forty-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 192667 385334 578001 770668 1156002 1348669 1541336 1734003 2119337 2312004 2697338 3468006 4046007 4238674 4624008 5394676 6358011 6936012 8092014 8477348 10789352 12138021 12716022 13872024 14835359 16184028 16954696 19074033 24276042 25432044 29670718 32368056 38148066 44506077 48552084 50864088 59341436 76296132 89012154 97104168 118682872 133518231 152592264 178024308 267036462 356048616 534072924 1068145848