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204024400056 = 233261295315731
BaseRepresentation
bin1011111000000011001…
…1010100100010111000
3201111121210220101112100
42332000303110202320
511320320221300211
6233421050543400
720511625533531
oct2760063244270
9644553811470
10204024400056
1179587500564
123365b437b60
1316316004999
149c36787688
155491919156
hex2f80cd48b8

204024400056 has 96 divisors (see below), whose sum is σ = 561850445520. Its totient is φ = 66866342400.

The previous prime is 204024400009. The next prime is 204024400057. The reversal of 204024400056 is 650004420402.

204024400056 is a `hidden beast` number, since 204 + 0 + 2 + 4 + 400 + 0 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204024400057) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12961711 + ... + 12977441.

Almost surely, 2204024400056 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 204024400056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280925222760).

204024400056 is an abundant number, since it is smaller than the sum of its proper divisors (357826045464).

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

204024400056 is a wasteful number, since it uses less digits than its factorization.

204024400056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18757 (or 18750 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 204024400056 its reverse (650004420402), we get a palindrome (854028820458).

The spelling of 204024400056 in words is "two hundred four billion, twenty-four million, four hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 2953 4392 5906 8859 11812 15731 17718 23624 26577 31462 35436 47193 53154 62924 70872 94386 106308 125848 141579 180133 188772 212616 283158 360266 377544 540399 566316 720532 959591 1080798 1132632 1441064 1621197 1919182 2161596 2878773 3242394 3838364 4323192 5757546 6484788 7676728 8636319 11515092 12969576 17272638 23030184 34545276 46453643 69090552 92907286 139360929 185814572 278721858 371629144 418082787 557443716 836165574 1114887432 1672331148 2833672223 3344662296 5667344446 8501016669 11334688892 17002033338 22669377784 25503050007 34004066676 51006100014 68008133352 102012200028 204024400056