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204244351542 = 232711380338749
BaseRepresentation
bin1011111000110111101…
…0010111101000110110
3201112012010210002020200
42332031322113220312
511321243023222132
6233454545141330
720520236225520
oct2761572275066
9645163702220
10204244351542
117968a680350
123370102a846
131634c7562aa
149c57a80a10
1554a5db4d7c
hex2f8de97a36

204244351542 has 96 divisors (see below), whose sum is σ = 551884320000. Its totient is φ = 53035162560.

The previous prime is 204244351537. The next prime is 204244351543. The reversal of 204244351542 is 245153442402.

204244351542 is a `hidden beast` number, since 2 + 0 + 4 + 24 + 43 + 51 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 204244351497 and 204244351506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204244351543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5251584 + ... + 5290332.

It is an arithmetic number, because the mean of its divisors is an integer number (5748795000).

Almost surely, 2204244351542 is an apocalyptic number.

204244351542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

204244351542 is an abundant number, since it is smaller than the sum of its proper divisors (347639968458).

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

204244351542 is a wasteful number, since it uses less digits than its factorization.

204244351542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42578 (or 42575 counting only the distinct ones).

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

Adding to 204244351542 its reverse (245153442402), we get a palindrome (449397793944).

The spelling of 204244351542 in words is "two hundred four billion, two hundred forty-four million, three hundred fifty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 3803 7606 11409 22818 26621 34227 38749 41833 53242 68454 77498 79863 83666 116247 125499 159726 232494 239589 250998 271243 292831 348741 376497 426239 479178 542486 585662 697482 752994 813729 852478 878493 1278717 1627458 1756986 2441187 2557434 2635479 2983673 3836151 4882374 5270958 5967346 7672302 8951019 17902038 26853057 53706114 147362447 294724894 442087341 884174682 1031537129 1326262023 1620986917 2063074258 2652524046 3094611387 3241973834 4862960751 6189222774 9283834161 9725921502 11346908419 14588882253 18567668322 22693816838 29177764506 34040725257 68081450514 102122175771 204244351542