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204450242112 = 2632946137517
BaseRepresentation
bin1011111001101000101…
…1110001111001000000
3201112201111012102000100
42332122023301321000
511322203230221422
6233531222122400
720525316245544
oct2763213617100
9645644172010
10204450242112
1179785916a46
1233759b80400
13163832c382c
149c77157a24
1554b8ed47ac
hex2f9a2f1e40

204450242112 has 84 divisors (see below), whose sum is σ = 586097266716. Its totient is φ = 68141061120.

The previous prime is 204450242077. The next prime is 204450242141. The reversal of 204450242112 is 211242054402.

It is a happy number.

204450242112 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 502 + 42 + 112 = 666.

204450242112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129185611776 + 75264630336 = 359424^2 + 274344^2 .

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 11 ways as a sum of consecutive naturals, for example, 5430778 + ... + 5468294.

Almost surely, 2204450242112 is an apocalyptic number.

It is an amenable number.

204450242112 is an abundant number, since it is smaller than the sum of its proper divisors (381647024604).

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

204450242112 is a wasteful number, since it uses less digits than its factorization.

204450242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46996 (or 46983 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 204450242112 its reverse (211242054402), we get a palindrome (415692296514).

The spelling of 204450242112 in words is "two hundred four billion, four hundred fifty million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9461 18922 28383 37517 37844 56766 75034 75688 85149 112551 113532 150068 151376 170298 225102 227064 300136 302752 337653 340596 450204 454128 600272 605504 675306 681192 900408 908256 1200544 1350612 1362384 1800816 1816512 2401088 2701224 2724768 3601632 5402448 5449536 7203264 10804896 21609792 354948337 709896674 1064845011 1419793348 2129690022 2839586696 3194535033 4259380044 5679173392 6389070066 8518760088 11358346784 12778140132 17037520176 22716693568 25556280264 34075040352 51112560528 68150080704 102225121056 204450242112