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68095566 = 23471153103
BaseRepresentation
bin1000000111100…
…00111001001110
311202010121120000
410003300321032
5114413024231
610431305130
71454542230
oct403607116
9152117500
1068095566
1135490230
121a97b1a6
1311152a46
149088250
155ea16e6
hex40f0e4e

68095566 has 160 divisors (see below), whose sum is σ = 195706368. Its totient is φ = 17184960.

The previous prime is 68095543. The next prime is 68095579. The reversal of 68095566 is 66559086.

68095566 is a `hidden beast` number, since 6 + 80 + 9 + 5 + 566 = 666.

It is a super-2 number, since 2×680955662 = 9274012217720712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 661071 + ... + 661173.

Almost surely, 268095566 is an apocalyptic number.

68095566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68095566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97853184).

68095566 is an abundant number, since it is smaller than the sum of its proper divisors (127610802).

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

68095566 is a wasteful number, since it uses less digits than its factorization.

68095566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 68095566 is about 8252.0037566642. The cubic root of 68095566 is about 408.3566302225.

The spelling of 68095566 in words is "sixty-eight million, ninety-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 53 54 63 66 77 81 99 103 106 126 154 159 162 189 198 206 231 297 309 318 371 378 462 477 567 583 594 618 693 721 742 891 927 954 1113 1133 1134 1166 1386 1431 1442 1749 1782 1854 2079 2163 2226 2266 2781 2862 3339 3399 3498 4081 4158 4293 4326 5247 5459 5562 6237 6489 6678 6798 7931 8162 8343 8586 10017 10197 10494 10918 12243 12474 12978 15741 15862 16377 16686 19467 20034 20394 23793 24486 30051 30591 31482 32754 36729 38213 38934 47223 47586 49131 58401 60049 60102 61182 71379 73458 76426 91773 94446 98262 110187 114639 116802 120098 142758 147393 180147 183546 214137 220374 229278 294786 330561 343917 360294 420343 428274 442179 540441 642411 661122 687834 840686 884358 1031751 1080882 1261029 1284822 1621323 2063502 2522058 3095253 3242646 3783087 4863969 6190506 7566174 9727938 11349261 22698522 34047783 68095566