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200533431204 = 2232197133712253
BaseRepresentation
bin1011101011000010111…
…0010101001110100100
3201011121112000210112200
42322300232111032210
511241143024244304
6232042423214500
720326256020011
oct2726056251644
9634545023480
10200533431204
1178055991a37
1232a462a7430
1315baa9aac42
1499c4c9a708
15533a1e2e39
hex2eb0b953a4

200533431204 has 144 divisors (see below), whose sum is σ = 542748286080. Its totient is φ = 62244080640.

The previous prime is 200533431193. The next prime is 200533431311. The reversal of 200533431204 is 402134335002.

200533431204 is a `hidden beast` number, since 2 + 0 + 0 + 533 + 4 + 3 + 120 + 4 = 666.

200533431204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16359942 + ... + 16372194.

It is an arithmetic number, because the mean of its divisors is an integer number (3769085320).

Almost surely, 2200533431204 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 200533431204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271374143040).

200533431204 is an abundant number, since it is smaller than the sum of its proper divisors (342214854876).

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

200533431204 is a wasteful number, since it uses less digits than its factorization.

200533431204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12690 (or 12685 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 200533431204 its reverse (402134335002), we get a palindrome (602667766206).

The spelling of 200533431204 in words is "two hundred billion, five hundred thirty-three million, four hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 337 342 426 639 674 684 852 1011 1278 1348 1349 2022 2556 2698 3033 4044 4047 5396 6066 6403 8094 12132 12141 12253 12806 16188 19209 23927 24282 24506 25612 36759 38418 47854 48564 49012 57627 71781 73518 76836 95708 110277 115254 143562 147036 215343 220554 230508 232807 287124 430686 441108 454613 465614 698421 861372 869963 909226 931228 1363839 1396842 1739926 1818452 2095263 2609889 2727678 2793684 3479852 4091517 4129261 4190526 5219778 5455356 7829667 8183034 8258522 8381052 10439556 12387783 15659334 16366068 16517044 16529297 24775566 31318668 33058594 37163349 49551132 49587891 66117188 74326698 78455959 99175782 148653396 148763673 156911918 198351564 235367877 293177531 297527346 313823836 470735754 586355062 595054692 706103631 879532593 941471508 1172710124 1412207262 1759065186 2638597779 2824414524 3518130372 5277195558 5570373089 10554391116 11140746178 16711119267 22281492356 33422238534 50133357801 66844477068 100266715602 200533431204