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206404225552 = 2472964199139
BaseRepresentation
bin1100000000111010100…
…1101000101000010000
3201201202122222001101101
43000032221220220100
511340203440204202
6234453142514144
720624613653350
oct3001651505020
9651678861341
10206404225552
117a598893698
1234004435954
1316605078955
149dc0874b60
155580807887
hex300ea68a10

206404225552 has 80 divisors (see below), whose sum is σ = 473540227200. Its totient is φ = 85274542080.

The previous prime is 206404225409. The next prime is 206404225553. The reversal of 206404225552 is 255522404602.

It is not an unprimeable number, because it can be changed into a prime (206404225553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032399 + ... + 2131537.

It is an arithmetic number, because the mean of its divisors is an integer number (5919252840).

Almost surely, 2206404225552 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 206404225552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770113600).

206404225552 is an abundant number, since it is smaller than the sum of its proper divisors (267136001648).

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

206404225552 is a wasteful number, since it uses less digits than its factorization.

206404225552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99824 (or 99818 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 206404225552 in words is "two hundred six billion, four hundred four million, two hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 641 812 1282 1624 2564 3248 4487 5128 8974 10256 17948 18589 35896 37178 71792 74356 99139 130123 148712 198278 260246 297424 396556 520492 693973 793112 1040984 1387946 1586224 2081968 2775892 2875031 5551784 5750062 11103568 11500124 20125217 23000248 40250434 46000496 63548099 80500868 127096198 161001736 254192396 322003472 444836693 508384792 889673386 1016769584 1779346772 1842894871 3558693544 3685789742 7117387088 7371579484 12900264097 14743158968 25800528194 29486317936 51601056388 103202112776 206404225552