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189582708042 = 232721359280243
BaseRepresentation
bin1011000010010000000…
…0101000110101001010
3200010100100022102102100
42300210000220311022
511101231133124132
6223032035214230
716461015300300
oct2604400506512
9603310272370
10189582708042
1173446550602
12308aaa47376
1314b540477b0
149266776270
154de8b3937c
hex2c24028d4a

189582708042 has 144 divisors (see below), whose sum is σ = 523305226080. Its totient is φ = 49152204864.

The previous prime is 189582708023. The next prime is 189582708061. The reversal of 189582708042 is 240807285981.

189582708042 is a `hidden beast` number, since 18 + 9 + 582 + 7 + 0 + 8 + 0 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (189582708023) and next prime (189582708061).

It is a super-2 number, since 2×1895827080422 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 189582708042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 536373 + ... + 816615.

It is an arithmetic number, because the mean of its divisors is an integer number (3634064070).

Almost surely, 2189582708042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189582708042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261652613040).

189582708042 is an abundant number, since it is smaller than the sum of its proper divisors (333722518038).

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

189582708042 is a wasteful number, since it uses less digits than its factorization.

189582708042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280337 (or 280327 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 189582708042 in words is "one hundred eighty-nine billion, five hundred eighty-two million, seven hundred eight thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 59 63 78 91 98 117 118 126 147 177 182 234 273 294 354 413 441 531 546 637 767 819 826 882 1062 1239 1274 1534 1638 1911 2301 2478 2891 3717 3822 4602 5369 5733 5782 6903 7434 8673 10738 11466 13806 16107 17346 26019 32214 37583 48321 52038 75166 96642 112749 225498 280243 338247 560486 676494 840729 1681458 1961701 2522187 3643159 3923402 5044374 5885103 7286318 10929477 11770206 13731907 16534337 17655309 21858954 25502113 27463814 32788431 33068674 35310618 41195721 49603011 51004226 65576862 76506339 82391442 99206022 115740359 123587163 148809033 153012678 178514791 214946381 229519017 231480718 247174326 297618066 347221077 357029582 429892762 459038034 535544373 644839143 694442154 810182513 1041663231 1071088746 1289678286 1504624667 1606633119 1620365026 1934517429 2083326462 2430547539 3009249334 3213266238 3869034858 4513874001 4861095078 7291642617 9027748002 10532372669 13541622003 14583285234 21064745338 27083244006 31597118007 63194236014 94791354021 189582708042