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1668605568 = 27371514111
BaseRepresentation
bin110001101110100…
…1110011010000000
311022021202221112020
41203131032122000
511404130334233
6433324001440
756230625160
oct14335163200
94267687466
101668605568
11786980073
123a6990280
13207906996
1411b8725a0
159b7519b3
hex6374e680

1668605568 has 128 divisors (see below), whose sum is σ = 5100195840. Its totient is φ = 473472000.

The previous prime is 1668605551. The next prime is 1668605569. The reversal of 1668605568 is 8655068661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1668605568.

It is not an unprimeable number, because it can be changed into a prime (1668605569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403833 + ... + 407943.

It is an arithmetic number, because the mean of its divisors is an integer number (39845280).

Almost surely, 21668605568 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 1668605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550097920).

1668605568 is an abundant number, since it is smaller than the sum of its proper divisors (3431590272).

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

1668605568 is a wasteful number, since it uses less digits than its factorization.

1668605568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 1668605568 is about 40848.5687386963. The cubic root of 1668605568 is about 1186.0906876690.

The spelling of 1668605568 in words is "one billion, six hundred sixty-eight million, six hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 151 168 192 224 302 336 384 448 453 604 672 896 906 1057 1208 1344 1812 2114 2416 2688 3171 3624 4111 4228 4832 6342 7248 8222 8456 9664 12333 12684 14496 16444 16912 19328 24666 25368 28777 28992 32888 33824 49332 50736 57554 57984 65776 67648 86331 98664 101472 115108 131552 135296 172662 197328 202944 230216 263104 345324 394656 405888 460432 526208 620761 690648 789312 920864 1241522 1381296 1578624 1841728 1862283 2483044 2762592 3683456 3724566 4345327 4966088 5525184 7449132 8690654 9932176 11050368 13035981 14898264 17381308 19864352 26071962 29796528 34762616 39728704 52143924 59593056 69525232 79457408 104287848 119186112 139050464 208575696 238372224 278100928 417151392 556201856 834302784 1668605568