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204202990404 = 223271764773673
BaseRepresentation
bin1011111000101101110…
…0100101101101000100
3201112002020221201102200
42332023130211231010
511321201431143104
6233450510434500
720516224531230
oct2761334455504
9645066851380
10204202990404
11796692a0096
12336ab202a30
131634400404a
149c523955c0
1554a2444b39
hex2f8b725b44

204202990404 has 144 divisors (see below), whose sum is σ = 625594814208. Its totient is φ = 54826113024.

The previous prime is 204202990367. The next prime is 204202990451. The reversal of 204202990404 is 404099202402.

204202990404 is a `hidden beast` number, since 204 + 20 + 29 + 9 + 0 + 404 = 666.

It is a super-2 number, since 2×2042029904042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2734912 + ... + 2808584.

It is an arithmetic number, because the mean of its divisors is an integer number (4344408432).

Almost surely, 2204202990404 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 204202990404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312797407104).

204202990404 is an abundant number, since it is smaller than the sum of its proper divisors (421391823804).

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

204202990404 is a wasteful number, since it uses less digits than its factorization.

204202990404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74354 (or 74349 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 204202990404 in words is "two hundred four billion, two hundred two million, nine hundred ninety thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 647 714 1071 1294 1428 1941 2142 2588 3882 4284 4529 5823 7764 9058 10999 11646 13587 18116 21998 23292 27174 32997 40761 43996 54348 65994 73673 76993 81522 98991 131988 147346 153986 163044 197982 221019 230979 294692 307972 395964 442038 461958 515711 663057 692937 884076 923916 1031422 1252441 1326114 1385874 1547133 2062844 2504882 2652228 2771748 3094266 3757323 4641399 5009764 6188532 7514646 8767087 9282798 11271969 15029292 17534174 18565596 22543938 26301261 35068348 45087876 47666431 52602522 78903783 95332862 105205044 142999293 157807566 190665724 285998586 315615132 333665017 428997879 571997172 667330034 810329327 857995758 1000995051 1334660068 1620658654 1715991516 2001990102 2430987981 3002985153 3241317308 4003980204 4861975962 5672305289 6005970306 7292963943 9723951924 11344610578 12011940612 14585927886 17016915867 22689221156 29171855772 34033831734 51050747601 68067663468 102101495202 204202990404