Search a number
-
+
200697488550 = 232521380942407
BaseRepresentation
bin1011101011101010000…
…0001010010010100110
3201012000221201202220200
42322322200022102212
511242012024113200
6232111003411330
720333320335216
oct2727240122246
9635027652820
10200697488550
117812a555719
1232a91223b46
1315c0598c3b0
1499dc9a4246
1553497ec800
hex2eba80a4a6

200697488550 has 144 divisors (see below), whose sum is σ = 581416224480. Its totient is φ = 49340229120.

The previous prime is 200697488531. The next prime is 200697488569. The reversal of 200697488550 is 55884796002.

200697488550 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 9 + 7 + 4 + 88 + 550 = 666.

It is an interprime number because it is at equal distance from previous prime (200697488531) and next prime (200697488569).

It is a super-2 number, since 2×2006974885502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4711447 + ... + 4753853.

It is an arithmetic number, because the mean of its divisors is an integer number (4037612670).

Almost surely, 2200697488550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200697488550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290708112240).

200697488550 is an abundant number, since it is smaller than the sum of its proper divisors (380718735930).

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

200697488550 is a wasteful number, since it uses less digits than its factorization.

200697488550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43247 (or 43239 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 200697488550 in words is "two hundred billion, six hundred ninety-seven million, four hundred eighty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 809 975 1170 1618 1950 2427 2925 4045 4854 5850 7281 8090 10517 12135 14562 20225 21034 24270 31551 36405 40450 42407 52585 60675 63102 72810 84814 94653 105170 121350 127221 157755 182025 189306 212035 254442 262925 315510 364050 381663 424070 473265 525850 551291 636105 763326 788775 946530 1060175 1102582 1272210 1577550 1653873 1908315 2120350 2366325 2756455 3180525 3307746 3816630 4732650 4961619 5512910 6361050 8269365 9541575 9923238 13782275 16538730 19083150 24808095 27564550 34307263 41346825 49616190 68614526 82693650 102921789 124040475 171536315 205843578 248080950 308765367 343072630 445994419 514608945 617530734 857681575 891988838 1029217890 1337983257 1543826835 1715363150 2229972095 2573044725 2675966514 3087653670 4013949771 4459944190 5146089450 6689916285 7719134175 8027899542 11149860475 13379832570 15438268350 20069748855 22299720950 33449581425 40139497710 66899162850 100348744275 200697488550