Search a number
-
+
204316235794368 = 263441279550001
BaseRepresentation
bin101110011101001100010100…
…101010000000011111000000
3222210102102220202202121010000
4232131030110222000133000
5203240004122330404433
62002313325530040000
761015234535241615
oct5635142452003700
9883372822677100
10204316235794368
115a113035657895
121aab9a31b79000
138a00c27779c19
143864d5c49650c
151894b02c79113
hexb9d314a807c0

204316235794368 has 140 divisors (see below), whose sum is σ = 605804147669952. Its totient is φ = 68088902400000.

The previous prime is 204316235794247. The next prime is 204316235794381. The reversal of 204316235794368 is 863497532613402.

204316235794368 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 1 + 6 + 23 + 579 + 4 + 36 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16619368 + ... + 26169368.

It is a 1-persistent number, because it is pandigital, but 2⋅204316235794368 = 408632471588736 is not.

Almost surely, 2204316235794368 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 204316235794368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302902073834976).

204316235794368 is an abundant number, since it is smaller than the sum of its proper divisors (401487911875584).

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

204316235794368 is an equidigital number, since it uses as much as digits as its factorization.

204316235794368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9554152 (or 9554133 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 204316235794368 in words is "two hundred four trillion, three hundred sixteen billion, two hundred thirty-five million, seven hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4127 5184 8254 12381 16508 24762 33016 37143 49524 66032 74286 99048 111429 132064 148572 198096 222858 264128 297144 334287 396192 445716 594288 668574 792384 891432 1188576 1337148 1782864 2377152 2674296 3565728 5348592 7131456 9550001 10697184 19100002 21394368 28650003 38200004 57300006 76400008 85950009 114600012 152800016 171900018 229200024 257850027 305600032 343800036 458400048 515700054 611200064 687600072 773550081 916800096 1031400108 1375200144 1547100162 1833600192 2062800216 2750400288 3094200324 4125600432 5500800576 6188400648 8251200864 12376801296 16502401728 24753602592 39412854127 49507205184 78825708254 118238562381 157651416508 236477124762 315302833016 354715687143 472954249524 630605666032 709431374286 945908499048 1064147061429 1261211332064 1418862748572 1891816998096 2128294122858 2522422664128 2837725497144 3192441184287 3783633996192 4256588245716 5675450994288 6384882368574 7567267992384 8513176491432 11350901988576 12769764737148 17026352982864 22701803977152 25539529474296 34052705965728 51079058948592 68105411931456 102158117897184 204316235794368