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665695968 = 25372473011
BaseRepresentation
bin100111101011011…
…011011011100000
31201101121212012020
4213223123123200
52330404232333
6150020101440
722332215400
oct4753333340
91641555166
10665695968
1131184a263
12166b34880
13a7bbb352
14645a8800
153d6983b3
hex27adb6e0

665695968 has 144 divisors (see below), whose sum is σ = 2076689664. Its totient is φ = 186090240.

The previous prime is 665695937. The next prime is 665695981. The reversal of 665695968 is 869596566.

It is a super-2 number, since 2×6656959682 = 886302243622914048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219583 + ... + 222593.

It is an arithmetic number, because the mean of its divisors is an integer number (14421456).

Almost surely, 2665695968 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 665695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038344832).

665695968 is an abundant number, since it is smaller than the sum of its proper divisors (1410993696).

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

665695968 is a wasteful number, since it uses less digits than its factorization.

665695968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3070 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 60.

The square root of 665695968 is about 25801.0846283640. The cubic root of 665695968 is about 873.1562670894.

The spelling of 665695968 in words is "six hundred sixty-five million, six hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 84 94 96 98 112 141 147 168 188 196 224 282 294 329 336 376 392 564 588 658 672 752 784 987 1128 1176 1316 1504 1568 1974 2256 2303 2352 2632 3011 3948 4512 4606 4704 5264 6022 6909 7896 9033 9212 10528 12044 13818 15792 18066 18424 21077 24088 27636 31584 36132 36848 42154 48176 55272 63231 72264 73696 84308 96352 110544 126462 141517 144528 147539 168616 221088 252924 283034 289056 295078 337232 424551 442617 505848 566068 590156 674464 849102 885234 990619 1011696 1132136 1180312 1698204 1770468 1981238 2023392 2264272 2360624 2971857 3396408 3540936 3962476 4528544 4721248 5943714 6792816 6934333 7081872 7924952 11887428 13585632 13868666 14163744 15849904 20802999 23774856 27737332 31699808 41605998 47549712 55474664 83211996 95099424 110949328 166423992 221898656 332847984 665695968