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2320616656 = 242961163503
BaseRepresentation
bin1000101001010001…
…1100110011010000
312222201122112121001
42022110130303100
514223034213111
61022134511344
7111335626141
oct21224346320
95881575531
102320616656
11a90a22706
12549205554
132aca13167
141802b7ac8
15d8ae51c1
hex8a51ccd0

2320616656 has 80 divisors (see below), whose sum is σ = 4765944960. Its totient is φ = 1092994560.

The previous prime is 2320616633. The next prime is 2320616657. The reversal of 2320616656 is 6566160232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320616657) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4613301 + ... + 4613803.

It is an arithmetic number, because the mean of its divisors is an integer number (59574312).

Almost surely, 22320616656 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 2320616656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382972480).

2320616656 is an abundant number, since it is smaller than the sum of its proper divisors (2445328304).

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

2320616656 is a wasteful number, since it uses less digits than its factorization.

2320616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 2320616656 is about 48172.7792015366. The cubic root of 2320616656 is about 1323.9384697722.

Adding to 2320616656 its reverse (6566160232), we get a palindrome (8886776888).

The spelling of 2320616656 in words is "two billion, three hundred twenty million, six hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 61 116 122 163 232 244 326 464 488 503 652 976 1006 1304 1769 2012 2608 3538 4024 4727 7076 8048 9454 9943 14152 14587 18908 19886 28304 29174 30683 37816 39772 58348 61366 75632 79544 81989 116696 122732 159088 163978 233392 245464 288347 327956 490928 576694 655912 889807 1153388 1311824 1779614 2306776 2377681 3559228 4613552 4755362 5001329 7118456 9510724 10002658 14236912 19021448 20005316 38042896 40010632 80021264 145038541 290077082 580154164 1160308328 2320616656