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18969618301812 = 22322959500961483
BaseRepresentation
bin1000101000000101101010…
…10111000100001101110100
32111011110220022111220022200
410110002311113010031310
54441244234241124222
6104202304454224500
73665336553056163
oct424026527041564
974143808456280
1018969618301812
116053a73aa3672
122164532955130
13a77a9a84bcb9
144981c4c0b3da
1522d69b249eac
hex1140b55c4374

18969618301812 has 144 divisors (see below), whose sum is σ = 50456106792000. Its totient is φ = 6000391369728.

The previous prime is 18969618301787. The next prime is 18969618301847. The reversal of 18969618301812 is 21810381696981.

18969618301812 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 9 + 618 + 3 + 0 + 1 + 8 + 1 + 2 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 18969618301812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308503623 + ... + 308565105.

It is an arithmetic number, because the mean of its divisors is an integer number (350389630500).

Almost surely, 218969618301812 is an apocalyptic number.

18969618301812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18969618301812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25228053396000).

18969618301812 is an abundant number, since it is smaller than the sum of its proper divisors (31486488490188).

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

18969618301812 is a wasteful number, since it uses less digits than its factorization.

18969618301812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66590 (or 66585 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 18969618301812 in words is "eighteen trillion, nine hundred sixty-nine billion, six hundred eighteen million, three hundred one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 59 87 116 118 174 177 236 261 348 354 522 531 708 1044 1062 1711 2124 3422 5009 5133 6844 10018 10266 15027 15399 20036 20532 30054 30798 45081 60108 61483 61596 90162 122966 145261 180324 184449 245932 290522 295531 368898 435783 553347 581044 591062 737796 871566 886593 1106694 1182124 1307349 1743132 1773186 1783007 2213388 2614698 2659779 3546372 3566014 3627497 5229396 5319558 5349021 7132028 7254994 8570399 10639116 10698042 10882491 14509988 16047063 17140798 21396084 21764982 25711197 32094126 32647473 34281596 43529964 51422394 64188252 65294946 77133591 102844788 105197413 130589892 154267182 210394826 307968347 308534364 315592239 420789652 615936694 631184478 923905041 946776717 1231873388 1262368956 1847810082 1893553434 2771715123 3695620164 3787106868 5543430246 8931082063 11086860492 17862164126 18170132473 26793246189 35724328252 36340264946 53586492378 54510397419 72680529892 80379738567 107172984756 109020794838 160759477134 163531192257 218041589676 321518954268 327062384514 526933841717 654124769028 1053867683434 1580801525151 2107735366868 3161603050302 4742404575453 6323206100604 9484809150906 18969618301812