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108084086784 = 211327877451
BaseRepresentation
bin110010010101001010…
…0000100100000000000
3101022222120021111112100
41210222110010200000
53232324011234114
6121353025030400
710544265402432
oct1445224044000
9338876244470
10108084086784
1141924716163
1218b45185400
13a2665b414b
145334976652
152c28ce4909
hex192a504800

108084086784 has 144 divisors (see below), whose sum is σ = 312605289360. Its totient is φ = 35977420800.

The previous prime is 108084086771. The next prime is 108084086801. The reversal of 108084086784 is 487680480801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 108084086784.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14502259 + ... + 14509709.

It is an arithmetic number, because the mean of its divisors is an integer number (2170870065).

Almost surely, 2108084086784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108084086784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156302644680).

108084086784 is an abundant number, since it is smaller than the sum of its proper divisors (204521202576).

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

108084086784 is an equidigital number, since it uses as much as digits as its factorization.

108084086784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 108084086784 in words is "one hundred eight billion, eighty-four million, eighty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 787 1024 1152 1536 1574 2048 2304 2361 3072 3148 4608 4722 6144 6296 7083 7451 9216 9444 12592 14166 14902 18432 18888 22353 25184 28332 29804 37776 44706 50368 56664 59608 67059 75552 89412 100736 113328 119216 134118 151104 178824 201472 226656 238432 268236 302208 357648 402944 453312 476864 536472 604416 715296 805888 906624 953728 1072944 1208832 1430592 1611776 1813248 1907456 2145888 2417664 2861184 3626496 3814912 4291776 4835328 5722368 5863937 7252992 7629824 8583552 11444736 11727874 14505984 15259648 17167104 17591811 22889472 23455748 34334208 35183622 45778944 46911496 52775433 68668416 70367244 93822992 105550866 137336832 140734488 187645984 211101732 281468976 375291968 422203464 562937952 750583936 844406928 1125875904 1501167872 1688813856 2251751808 3002335744 3377627712 4503503616 6004671488 6755255424 9007007232 12009342976 13510510848 18014014464 27021021696 36028028928 54042043392 108084086784