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68305913316 = 223243210132
BaseRepresentation
bin111111100111010110…
…011000010111100100
320112022100121220211100
4333213112120113210
52104342303211231
651213532440100
74635453453264
oct774726302744
9215270556740
1068305913316
1126a719a8733
12112a3619030
13659748b7b4
14343da2d7a4
151b9ba291e6
hexfe75985e4

68305913316 has 81 divisors (see below), whose sum is σ = 176945625129. Its totient is φ = 22217180832.

The previous prime is 68305913303. The next prime is 68305913369. The reversal of 68305913316 is 61331950386.

The square root of 68305913316 is 261354.

It is a perfect power (a square), and thus also a powerful number.

68305913316 is a `hidden beast` number, since 6 + 8 + 305 + 9 + 1 + 331 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134792100 + 68171121216 = 11610^2 + 261096^2 .

It is a super-2 number, since 2×683059133162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67428826 + ... + 67429838.

Almost surely, 268305913316 is an apocalyptic number.

68305913316 is the 261354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68305913316

68305913316 is an abundant number, since it is smaller than the sum of its proper divisors (108639711813).

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

68305913316 is a wasteful number, since it uses less digits than its factorization.

68305913316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 68305913316 in words is "sixty-eight billion, three hundred five million, nine hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1013 1548 1849 2026 3039 3698 4052 5547 6078 7396 9117 11094 12156 16641 18234 22188 33282 36468 43559 66564 87118 130677 174236 261354 392031 522708 784062 1026169 1568124 1873037 2052338 3078507 3746074 4104676 5619111 6157014 7492148 9235521 11238222 12314028 16857333 18471042 22476444 33714666 36942084 44125267 67429332 88250534 132375801 176501068 264751602 397127403 529503204 794254806 1588509612 1897386481 3794772962 5692159443 7589545924 11384318886 17076478329 22768637772 34152956658 68305913316