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11983912404884 = 22721967193248861
BaseRepresentation
bin1010111001100011100011…
…0101111000011110010100
31120102122120110102121002022
42232120320311320132110
53032321023033424014
641253200001032312
72344544343503600
oct256307065703624
946378513377068
1011983912404884
113900392150552
121416690025698
1368c102747234
142d604b168500
1515bae08c5a8e
hexae638d78794

11983912404884 has 144 divisors (see below), whose sum is σ = 26198240281920. Its totient is φ = 4768173527040.

The previous prime is 11983912404869. The next prime is 11983912404899. The reversal of 11983912404884 is 48840421938911.

It is an interprime number because it is at equal distance from previous prime (11983912404869) and next prime (11983912404899).

It is a super-2 number, since 2×119839124048842 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 48030614 + ... + 48279474.

It is an arithmetic number, because the mean of its divisors is an integer number (181932224180).

Almost surely, 211983912404884 is an apocalyptic number.

11983912404884 is a gapful number since it is divisible by the number (14) 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 11983912404884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13099120140960).

11983912404884 is an abundant number, since it is smaller than the sum of its proper divisors (14214327877036).

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

11983912404884 is a wasteful number, since it uses less digits than its factorization.

11983912404884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249158 (or 249149 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 62.

The spelling of 11983912404884 in words is "eleven trillion, nine hundred eighty-three billion, nine hundred twelve million, four hundred four thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 38 49 67 76 98 133 134 193 196 266 268 386 469 532 772 931 938 1273 1351 1862 1876 2546 2702 3283 3667 3724 5092 5404 6566 7334 8911 9457 12931 13132 14668 17822 18914 25669 25862 35644 37828 51338 51724 62377 90517 102676 124754 179683 181034 245689 248861 249508 359366 362068 491378 497722 633619 718732 982756 995444 1267238 1719823 1742027 2534476 3439646 3484054 4728359 6879292 6968108 9456718 12038761 12194189 16673687 18913436 24077522 24388378 33098513 33347374 48030173 48155044 48776756 66197026 66694748 96060346 116715809 132394052 192120692 231689591 233431618 316800053 336211211 463379182 466863236 633600106 672422422 817010663 912573287 926758364 1267200212 1344844844 1634021326 1825146574 2217600371 2353478477 3218021591 3268042652 3650293148 4435200742 4706956954 6388013009 6436043182 8870401484 9413913908 12776026018 12872086364 15523202597 22526151137 25552052036 31046405194 44716091063 45052302274 61142410229 62092810388 89432182126 90104604548 122284820458 157683057959 178864364252 244569640916 315366115918 427996871603 630732231836 855993743206 1711987486412 2995978101221 5991956202442 11983912404884