Search a number
-
+
868219353800 = 235241216072
BaseRepresentation
bin11001010001001011110…
…01111111101011001000
310002000000200212222110222
430220211321333223020
5103211103123310200
61502504321525212
7116504166512231
oct14504571775310
93060020788428
10868219353800
11305234210a37
12120324aa3808
1363b4651c206
14300446a2088
15178b741dd85
hexca25e7fac8

868219353800 has 108 divisors (see below), whose sum is σ = 2070333548115. Its totient is φ = 338606470400.

The previous prime is 868219353791. The next prime is 868219353839. The reversal of 868219353800 is 8353912868.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5464462084 + 862754891716 = 73922^2 + 928846^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=658870.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 540272597 + ... + 540274203.

Almost surely, 2868219353800 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 868219353800

868219353800 is an abundant number, since it is smaller than the sum of its proper divisors (1202114194315).

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

868219353800 is an equidigital number, since it uses as much as digits as its factorization.

868219353800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 868219353800 in words is "eight hundred sixty-eight billion, two hundred nineteen million, three hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1607 1640 1681 2050 3214 3362 4100 6428 6724 8035 8200 8405 12856 13448 16070 16810 32140 33620 40175 42025 64280 65887 67240 80350 84050 131774 160700 168100 263548 321400 329435 336200 527096 658870 1317740 1647175 2582449 2635480 2701367 3294350 5164898 5402734 6588700 10329796 10805468 12912245 13177400 13506835 20659592 21610936 25824490 27013670 51648980 54027340 64561225 67534175 103297960 105880409 108054680 129122450 135068350 211760818 258244900 270136700 423521636 516489800 529402045 540273400 847043272 1058804090 2117608180 2647010225 4235216360 4341096769 5294020450 8682193538 10588040900 17364387076 21176081800 21705483845 34728774152 43410967690 86821935380 108527419225 173643870760 217054838450 434109676900 868219353800