Search a number
-
+
78825384571648 = 28111317126660493
BaseRepresentation
bin10001111011000011110111…
…000010111111001100000000
3101100002122002120200202120211
4101323003313002333030000
540312433341422243043
6435351514243243504
722413642340531651
oct2173036702771400
9340078076622524
1078825384571648
1123130726687490
128a10a79979594
1334ca28167ca10
14156725191d528
1591a668587a9d
hex47b0f70bf300

78825384571648 has 144 divisors (see below), whose sum is σ = 195723901600416. Its totient is φ = 31128082513920.

The previous prime is 78825384571613. The next prime is 78825384571649. The reversal of 78825384571648 is 84617548352887.

It is not an unprimeable number, because it can be changed into a prime (78825384571649) by changing a digit.

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, 62707911 + ... + 63952582.

It is an arithmetic number, because the mean of its divisors is an integer number (1359193761114).

Almost surely, 278825384571648 is an apocalyptic number.

It is an amenable number.

78825384571648 is an abundant number, since it is smaller than the sum of its proper divisors (116898517028768).

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

78825384571648 is a wasteful number, since it uses less digits than its factorization.

78825384571648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126660550 (or 126660536 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 76.

The spelling of 78825384571648 in words is "seventy-eight trillion, eight hundred twenty-five billion, three hundred eighty-four million, five hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 208 221 256 272 286 352 374 416 442 544 572 704 748 832 884 1088 1144 1408 1496 1664 1768 2176 2288 2431 2816 2992 3328 3536 4352 4576 4862 5984 7072 9152 9724 11968 14144 18304 19448 23936 28288 36608 38896 47872 56576 77792 155584 311168 622336 126660493 253320986 506641972 1013283944 1393265423 1646586409 2026567888 2153228381 2786530846 3293172818 4053135776 4306456762 5573061692 6586345636 8106271552 8612913524 11146123384 13172691272 16212543104 17225827048 18112450499 22292246768 23685512191 26345382544 27991968953 32425086208 34451654096 36224900998 44584493536 47371024382 52690765088 55983937906 68903308192 72449801996 89168987072 94742048764 105381530176 111967875812 137806616384 144899603992 178337974144 189484097528 210763060352 223935751624 275613232768 289799207984 307911658483 356675948288 378968195056 421526120704 447871503248 551226465536 579598415968 615823316966 757936390112 895743006496 1159196831936 1231646633932 1515872780224 1791486012992 2318393663872 2463293267864 3031745560448 3582972025984 4636787327744 4926586535728 6063491120896 7165944051968 9853173071456 19706346142912 39412692285824 78825384571648