Search a number
-
+
200616120254256 = 24376011472367477
BaseRepresentation
bin101101100111010110010100…
…100101010111111100110000
3222022022201021100120212200120
4231213112110211113330300
5202243343303241114011
61550401435012450240
760154015323133410
oct5547262445277460
9868281240525616
10200616120254256
1158a16900917523
121a6008b8919980
1387c3032888175
143777c2cbc0640
15182d744258a06
hexb67594957f30

200616120254256 has 160 divisors (see below), whose sum is σ = 593329817461248. Its totient is φ = 57218784307200.

The previous prime is 200616120254183. The next prime is 200616120254387. The reversal of 200616120254256 is 652452021616002.

It is a happy number.

It is a super-2 number, since 2×2006161202542562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2973069990 + ... + 2973137466.

Almost surely, 2200616120254256 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 200616120254256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296664908730624).

200616120254256 is an abundant number, since it is smaller than the sum of its proper divisors (392713697206992).

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

200616120254256 is a wasteful number, since it uses less digits than its factorization.

200616120254256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82819 (or 82813 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 200616120254256 in words is "two hundred trillion, six hundred sixteen billion, one hundred twenty million, two hundred fifty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 601 1202 1803 2404 3606 4207 4808 7212 8414 9616 12621 14424 14723 16828 25242 28848 29446 33656 44169 50484 58892 67312 67477 88338 100968 103061 117784 134954 176676 201936 202431 206122 235568 269908 309183 353352 404862 412244 472339 539816 618366 706704 809724 824488 944678 1079632 1236732 1417017 1619448 1648976 1889356 2473464 2834034 3238896 3778712 4946928 5668068 7557424 8848523 11336136 17697046 22672272 26545569 35394092 40553677 53091138 61939661 70788184 81107354 106182276 121661031 123879322 141576368 162214708 185818983 212364552 243322062 247758644 283875739 324429416 371637966 424729104 486644124 495517288 567751478 648858832 743275932 851627217 973288248 991034576 993463871 1135502956 1486551864 1703254434 1946576496 1986927742 2271005912 2973103728 2980391613 3406508868 3973855484 4542011824 5960783226 6813017736 6954247097 7947710968 11921566452 13626035472 13908494194 15895421936 20862741291 23843132904 27816988388 41725482582 47686265808 55633976776 83450965164 111267953552 166901930328 333803860656 597071786471 1194143572942 1791215359413 2388287145884 3582430718826 4179502505297 4776574291768 7164861437652 8359005010594 9553148583536 12538507515891 14329722875304 16718010021188 25077015031782 28659445750608 33436020042376 50154030063564 66872040084752 100308060127128 200616120254256