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643553020 = 2251121715643
BaseRepresentation
bin100110010110111…
…101011011111100
31122211221212210001
4212112331123330
52304222144040
6143505324044
721643052605
oct4626753374
91584855701
10643553020
113002a5a00
1215b636624
13a3437706
1461682dac
153b77259a
hex265bd6fc

643553020 has 72 divisors (see below), whose sum is σ = 1572972912. Its totient is φ = 220239360.

The previous prime is 643553011. The next prime is 643553059. The reversal of 643553020 is 20355346.

It is a super-2 number, since 2×6435530202 = 828320979102240800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 643553020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33319 + ... + 48961.

It is an arithmetic number, because the mean of its divisors is an integer number (21846846).

Almost surely, 2643553020 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 643553020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786486456).

643553020 is an abundant number, since it is smaller than the sum of its proper divisors (929419892).

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

643553020 is a wasteful number, since it uses less digits than its factorization.

643553020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15691 (or 15678 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 643553020 is about 25368.3468125142. The cubic root of 643553020 is about 863.3656734538.

The spelling of 643553020 in words is "six hundred forty-three million, five hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 15643 20570 31286 41140 62572 78215 156430 172073 265931 312860 344146 531862 688292 860365 1063724 1329655 1720730 1892803 2659310 2925241 3441460 3785606 5318620 5850482 7571212 9464015 11700964 14626205 18928030 29252410 32177651 37856060 58504820 64355302 128710604 160888255 321776510 643553020