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11668738185984 = 283113031945557
BaseRepresentation
bin1010100111001101011011…
…1111101001101100000000
31112022112001102112101020210
42221303112333221230000
53012140033433422414
640452313323434120
72313016132032045
oct251632677515400
945275042471223
1011668738185984
113799758558a80
121385590985940
13668484c70b99
142c4aaca111cc
151537e5e8be59
hexa9cd6fe9b00

11668738185984 has 144 divisors (see below), whose sum is σ = 33880981639680. Its totient is φ = 3535787028480.

The previous prime is 11668738185869. The next prime is 11668738185991. The reversal of 11668738185984 is 48958183786611.

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 15 ways as a sum of consecutive naturals, for example, 256112134 + ... + 256157690.

It is an arithmetic number, because the mean of its divisors is an integer number (235284594720).

Almost surely, 211668738185984 is an apocalyptic number.

It is an amenable number.

11668738185984 is an abundant number, since it is smaller than the sum of its proper divisors (22212243453696).

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

11668738185984 is a wasteful number, since it uses less digits than its factorization.

11668738185984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75906 (or 75892 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 75.

The spelling of 11668738185984 in words is "eleven trillion, six hundred sixty-eight billion, seven hundred thirty-eight million, one hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 30319 45557 60638 90957 91114 121276 136671 181914 182228 242552 273342 333509 363828 364456 485104 501127 546684 667018 727656 728912 970208 1000527 1002254 1093368 1334036 1455312 1457824 1503381 1940416 2001054 2004508 2186736 2668072 2910624 2915648 3006762 3880832 4002108 4009016 4373472 5336144 5821248 5831296 6013524 7761664 8004216 8018032 8746944 10672288 11642496 11662592 12027048 16008432 16036064 17493888 21344576 23284992 24054096 32016864 32072128 34987776 42689152 48108192 64033728 64144256 85378304 96216384 128067456 128288512 192432768 256134912 384865536 1381242683 2762485366 4143728049 5524970732 8287456098 11049941464 15193669513 16574912196 22099882928 30387339026 33149824392 44199765856 45581008539 60774678052 66299648784 88399531712 91162017078 121549356104 132599297568 176799063424 182324034156 243098712208 265198595136 353598126848 364648068312 486197424416 530397190272 729296136624 972394848832 1060794380544 1458592273248 1944789697664 2917184546496 3889579395328 5834369092992 11668738185984