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204469044096 = 2733141418939
BaseRepresentation
bin1011111001101101001…
…1100000001110000000
3201112202210120122111010
42332123103200032000
511322223033402341
6233533133120520
720525635125042
oct2763323401600
9645683518433
10204469044096
1179795499179
1233764329140
1316387177875
149c7984da92
1554ba99a716
hex2f9b4e0380

204469044096 has 128 divisors (see below), whose sum is σ = 574316467200. Its totient is φ = 64348876800.

The previous prime is 204469044079. The next prime is 204469044139. The reversal of 204469044096 is 690440964402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278595 + ... + 697533.

It is an arithmetic number, because the mean of its divisors is an integer number (4486847400).

Almost surely, 2204469044096 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 204469044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287158233600).

204469044096 is an abundant number, since it is smaller than the sum of its proper divisors (369847423104).

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

204469044096 is a wasteful number, since it uses less digits than its factorization.

204469044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419028 (or 419016 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 204469044096 in words is "two hundred four billion, four hundred sixty-nine million, forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 128 164 186 192 246 248 328 372 384 492 496 656 744 984 992 1271 1312 1488 1968 1984 2542 2624 2976 3813 3936 3968 5084 5248 5952 7626 7872 10168 11904 15252 15744 20336 30504 40672 61008 81344 122016 162688 244032 418939 488064 837878 1256817 1675756 2513634 3351512 5027268 6703024 10054536 12987109 13406048 17176499 20109072 25974218 26812096 34352998 38961327 40218144 51529497 51948436 53624192 68705996 77922654 80436288 103058994 103896872 137411992 155845308 160872576 206117988 207793744 274823984 311690616 412235976 415587488 532471469 549647968 623381232 824471952 831174976 1064942938 1099295936 1246762464 1597414407 1648943904 1662349952 2129885876 2198591872 2493524928 3194828814 3297887808 4259771752 4987049856 6389657628 6595775616 8519543504 12779315256 17039087008 25558630512 34078174016 51117261024 68156348032 102234522048 204469044096