Search a number
-
+
200760258142416 = 243737160571005709
BaseRepresentation
bin101101101001011100100011…
…110111110010000011010000
3222022211111022120110020212210
4231221130203313302003100
5202303224002041024131
61550551553411552120
760200310231022530
oct5551344367620320
9868744276406783
10200760258142416
1158a71a46a04245
121a6248242bb640
1388037c37b989b
143780bc3bb74c0
15183237d38b146
hexb69723df20d0

200760258142416 has 160 divisors (see below), whose sum is σ = 608778758721280. Its totient is φ = 55806270271488.

The previous prime is 200760258142357. The next prime is 200760258142441. The reversal of 200760258142416 is 614241852067002.

200760258142416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199117770 + ... + 200123478.

It is an arithmetic number, because the mean of its divisors is an integer number (3804867242008).

Almost surely, 2200760258142416 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 200760258142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304389379360640).

200760258142416 is an abundant number, since it is smaller than the sum of its proper divisors (408018500578864).

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

200760258142416 is a wasteful number, since it uses less digits than its factorization.

200760258142416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021821 (or 1021815 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 200760258142416 in words is "two hundred trillion, seven hundred sixty billion, two hundred fifty-eight million, one hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 16057 32114 48171 64228 96342 112399 128456 192684 224798 256912 337197 385368 449596 594109 674394 770736 899192 1005709 1188218 1348788 1782327 1798384 2011418 2376436 2697576 3017127 3564654 4022836 4158763 4752872 5395152 6034254 7039963 7129308 8045672 8317526 9505744 12068508 12476289 14079926 14258616 16091344 16635052 21119889 24137016 24952578 28159852 28517232 33270104 37211233 42239778 48274032 49905156 56319704 66540208 74422466 84479556 99810312 111633699 112639408 148844932 168959112 199620624 223267398 260478631 297689864 337918224 446534796 520957262 595379728 781435893 893069592 1041914524 1562871786 1786139184 2083829048 3125743572 4167658096 6251487144 12502974288 16148669413 32297338826 48446008239 64594677652 96892016478 113040685891 129189355304 193784032956 226081371782 258378710608 339122057673 387568065912 452162743564 597500768281 678244115346 775136131824 904325487128 1195001536562 1356488230692 1792502304843 1808650974256 2390003073124 2712976461384 3585004609686 4182505377967 4780006146248 5425952922768 7170009219372 8365010755934 9560012292496 12547516133901 14340018438744 16730021511868 25095032267802 28680036877488 33460043023736 50190064535604 66920086047472 100380129071208 200760258142416