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1078684114816 = 27711937116803
BaseRepresentation
bin11111011001001101001…
…01010101111110000000
310211010021100110121100201
433230212211111332000
5120133121113133231
62143312440054544
7140634540456460
oct17544645257600
93733240417321
101078684114816
11386516074a60
12155081164454
137a9478c3169
143a2cc527ba0
151d0d4458161
hexfb26955f80

1078684114816 has 128 divisors (see below), whose sum is σ = 2682081480960. Its totient is φ = 419814420480.

The previous prime is 1078684114771. The next prime is 1078684114817. The reversal of 1078684114816 is 6184114868701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078684114817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9176671 + ... + 9293473.

It is an arithmetic number, because the mean of its divisors is an integer number (20953761570).

Almost surely, 21078684114816 is an apocalyptic number.

1078684114816 is a gapful number since it is divisible by the number (16) 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 1078684114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341040740480).

1078684114816 is an abundant number, since it is smaller than the sum of its proper divisors (1603397366144).

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

1078684114816 is a wasteful number, since it uses less digits than its factorization.

1078684114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117772 (or 117760 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 55.

The spelling of 1078684114816 in words is "one trillion, seventy-eight billion, six hundred eighty-four million, one hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 937 1232 1408 1874 2464 3748 4928 6559 7496 9856 10307 13118 14992 20614 26236 29984 41228 52472 59968 72149 82456 104944 116803 119936 144298 164912 209888 233606 288596 329824 419776 467212 577192 659648 817621 839552 934424 1154384 1284833 1319296 1635242 1868848 2308768 2569666 3270484 3737696 4617536 5139332 6540968 7475392 8993831 9235072 10278664 13081936 14950784 17987662 20557328 26163872 35975324 41114656 52327744 71950648 82229312 104655488 109444411 143901296 164458624 218888822 287802592 437777644 575605184 766110877 875555288 1151210368 1203888521 1532221754 1751110576 2407777042 3064443508 3502221152 4815554084 6128887016 7004442304 8427219647 9631108168 12257774032 14008884608 16854439294 19262216336 24515548064 33708878588 38524432672 49031096128 67417757176 77048865344 98062192256 134835514352 154097730688 269671028704 539342057408 1078684114816