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5213778600 = 2335219224071
BaseRepresentation
bin1001101101100001…
…11111001010101000
3111110100122101200010
410312300333022220
541134211403400
62221205211520
7243126246462
oct46660771250
914410571603
105213778600
112236051038
121016100ba0
1365122b5c4
1437662d132
15207ad3450
hex136c3f2a8

5213778600 has 144 divisors (see below), whose sum is σ = 17058863520. Its totient is φ = 1317110400.

The previous prime is 5213778589. The next prime is 5213778623. The reversal of 5213778600 is 68773125.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204565 + ... + 228635.

It is an arithmetic number, because the mean of its divisors is an integer number (118464330).

Almost surely, 25213778600 is an apocalyptic number.

5213778600 is a gapful number since it is divisible by the number (50) 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 5213778600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529431760).

5213778600 is an abundant number, since it is smaller than the sum of its proper divisors (11845084920).

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

5213778600 is a wasteful number, since it uses less digits than its factorization.

5213778600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24128 (or 24100 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 5213778600 is about 72206.4997074363. The cubic root of 5213778600 is about 1734.0070614022.

The spelling of 5213778600 in words is "five billion, two hundred thirteen million, seven hundred seventy-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 361 380 456 475 570 600 722 760 950 1083 1140 1425 1444 1805 1900 2166 2280 2850 2888 3610 3800 4332 5415 5700 7220 8664 9025 10830 11400 14440 18050 21660 24071 27075 36100 43320 48142 54150 72200 72213 96284 108300 120355 144426 192568 216600 240710 288852 361065 457349 481420 577704 601775 722130 914698 962840 1203550 1372047 1444260 1805325 1829396 2286745 2407100 2744094 2888520 3610650 3658792 4573490 4814200 5488188 6860235 7221300 8689631 9146980 10976376 11433725 13720470 14442600 17379262 18293960 22867450 26068893 27440940 34301175 34758524 43448155 45734900 52137786 54881880 68602350 69517048 86896310 91469800 104275572 130344465 137204700 173792620 208551144 217240775 260688930 274409400 347585240 434481550 521377860 651722325 868963100 1042755720 1303444650 1737926200 2606889300 5213778600