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3204828325300 = 2252723221203057
BaseRepresentation
bin101110101000101110101…
…001110110010110110100
3102100101012222220022002111
4232220232221312112310
5410001442022402200
610452140001220404
7450353430203200
oct56505651662664
912311188808074
103204828325300
111026184049168
1243914a631704
131a32a22602a4
14b118634bb00
1558571a0d0ba
hex2ea2ea765b4

3204828325300 has 108 divisors (see below), whose sum is σ = 8092453823244. Its totient is φ = 1098451737600.

The previous prime is 3204828325297. The next prime is 3204828325331. The reversal of 3204828325300 is 35238284023.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 50609701156 + 3154218624144 = 224966^2 + 1776012^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15681372 + ... + 15884428.

It is an arithmetic number, because the mean of its divisors is an integer number (74930127993).

Almost surely, 23204828325300 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 3204828325300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046226911622).

3204828325300 is an abundant number, since it is smaller than the sum of its proper divisors (4887625497944).

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

3204828325300 is a wasteful number, since it uses less digits than its factorization.

3204828325300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206306 (or 206292 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 3204828325300 in words is "three trillion, two hundred four billion, eight hundred twenty-eight million, three hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 3221 4900 6442 12884 16105 22547 32210 45094 64420 80525 90188 112735 157829 161050 203057 225470 315658 322100 406114 450940 563675 631316 789145 812228 1015285 1127350 1421399 1578290 2030570 2254700 2842798 3156580 3945725 4061140 5076425 5685596 7106995 7891450 9949793 10152850 14213990 15782900 19899586 20305700 28427980 35534975 39799172 49748965 71069950 99497930 142139900 198995860 248744825 497489650 654046597 994979300 1308093194 2616186388 3270232985 4578326179 6540465970 9156652358 13080931940 16351164925 18313304716 22891630895 32048283253 32702329850 45783261790 64096566506 65404659700 91566523580 114458154475 128193133012 160241416265 228916308950 320482832530 457832617900 640965665060 801207081325 1602414162650 3204828325300