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2643320020 = 2251124126641
BaseRepresentation
bin1001110110001101…
…1101110011010100
320211012212120101111
42131203131303110
520403142220040
61114143304404
7122334564235
oct23543356324
96735776344
102643320020
1111370a3500
126192ab104
1333182c9b3
141b10bb08c
151070dadea
hex9d8ddcd4

2643320020 has 72 divisors (see below), whose sum is σ = 6250532904. Its totient is φ = 937728000.

The previous prime is 2643319969. The next prime is 2643320027. The reversal of 2643320020 is 200233462.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133911184 + 2509408836 = 11572^2 + 50094^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2643319973 and 2643320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643320027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85900 + ... + 112540.

It is an arithmetic number, because the mean of its divisors is an integer number (86812957).

Almost surely, 22643320020 is an apocalyptic number.

2643320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2643320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125266452).

2643320020 is an abundant number, since it is smaller than the sum of its proper divisors (3607212884).

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

2643320020 is a wasteful number, since it uses less digits than its factorization.

2643320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26713 (or 26700 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2643320020 is about 51413.2280643805. The cubic root of 2643320020 is about 1382.6637655117.

Adding to 2643320020 its reverse (200233462), we get a palindrome (2843553482).

The spelling of 2643320020 in words is "two billion, six hundred forty-three million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4961 9020 9922 19844 24805 26641 49610 53282 99220 106564 133205 266410 293051 532820 586102 1092281 1172204 1465255 2184562 2930510 3223561 4369124 5461405 5861020 6447122 10922810 12015091 12894244 16117805 21845620 24030182 32235610 48060364 60075455 64471220 120150910 132166001 240301820 264332002 528664004 660830005 1321660010 2643320020