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204432142554 = 232293770914929
BaseRepresentation
bin1011111001100100011…
…0101111000011011010
3201112200020010212002100
42332121012233003122
511322134112030204
6233525334144230
720525006353263
oct2763106570332
9645606125070
10204432142554
1179776684532
1233753ab2076
131637c627433
149c749a596a
1554b760ba39
hex2f991af0da

204432142554 has 96 divisors (see below), whose sum is σ = 471289338000. Its totient is φ = 63921457152.

The previous prime is 204432142543. The next prime is 204432142589. The reversal of 204432142554 is 455241234402.

204432142554 is a `hidden beast` number, since 2 + 0 + 4 + 43 + 21 + 42 + 554 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 148936561929 + 55495580625 = 385923^2 + 235575^2 .

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, 13686162 + ... + 13701090.

Almost surely, 2204432142554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204432142554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235644669000).

204432142554 is an abundant number, since it is smaller than the sum of its proper divisors (266857195446).

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

204432142554 is a wasteful number, since it uses less digits than its factorization.

204432142554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 204432142554 its reverse (455241234402), we get a palindrome (659673376956).

The spelling of 204432142554 in words is "two hundred four billion, four hundred thirty-two million, one hundred forty-two thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 709 1073 1418 2127 2146 3219 4254 6381 6438 9657 12762 14929 19314 20561 26233 29858 41122 44787 52466 61683 78699 89574 123366 134361 157398 185049 236097 268722 370098 432941 472194 552373 760757 865882 1104746 1298823 1521514 1657119 2282271 2597646 3314238 3896469 4564542 4971357 6846813 7792938 9942714 10584661 13693626 16018817 21169322 31753983 32037634 48056451 63507966 95261949 96112902 144169353 190523898 288338706 306955169 391632457 613910338 783264914 920865507 1174897371 1841731014 2349794742 2762596521 3524692113 5525193042 7049384226 11357341253 22714682506 34072023759 68144047518 102216071277 204432142554