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2668589056 = 2127163571
BaseRepresentation
bin1001111100001111…
…0111000000000000
320212222102100222201
42133003313000000
520431124322211
61120445042544
7123062430010
oct23703670000
96788370881
102668589056
11114a392501
12625856454
13336b394a3
141b45b7c40
1510942d0c1
hex9f0f7000

2668589056 has 104 divisors (see below), whose sum is σ = 6147050624. Its totient is φ = 1134673920.

The previous prime is 2668589047. The next prime is 2668589071. The reversal of 2668589056 is 6509858662.

It is a super-2 number, since 2×26685890562 = 14242735099605942272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2668588988 and 2668589006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4673251 + ... + 4673821.

It is an arithmetic number, because the mean of its divisors is an integer number (59106256).

Almost surely, 22668589056 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 2668589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073525312).

2668589056 is an abundant number, since it is smaller than the sum of its proper divisors (3478461568).

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

2668589056 is an equidigital number, since it uses as much as digits as its factorization.

2668589056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The square root of 2668589056 is about 51658.3880507319. The cubic root of 2668589056 is about 1387.0556962387.

The spelling of 2668589056 in words is "two billion, six hundred sixty-eight million, five hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 256 326 448 512 571 652 896 1024 1141 1142 1304 1792 2048 2282 2284 2608 3584 3997 4096 4564 4568 5216 7168 7994 9128 9136 10432 14336 15988 18256 18272 20864 28672 31976 36512 36544 41728 63952 73024 73088 83456 93073 127904 146048 146176 166912 186146 255808 292096 292352 333824 372292 511616 584192 584704 651511 667648 744584 1023232 1168384 1169408 1303022 1489168 2046464 2336768 2338816 2606044 2978336 4092928 4673536 5212088 5956672 8185856 10424176 11913344 16371712 20848352 23826688 41696704 47653376 83393408 95306752 166786816 190613504 333573632 381227008 667147264 1334294528 2668589056