Search a number
-
+
74569684119876 = 2234112436132
BaseRepresentation
bin10000111101001000011011…
…100010000111000101000100
3100210000210101111111020210000
4100331020123202013011010
534233222203113314001
6422332501233201300
721464324200536051
oct2075103342070504
9323023344436700
1074569684119876
112183a909726900
128444130400230
13327bb777c991a
14145b298a96028
15894ade0eaa86
hex43d21b887144

74569684119876 has 135 divisors (see below), whose sum is σ = 214277678332333. Its totient is φ = 22596355853280.

The previous prime is 74569684119839. The next prime is 74569684119877. The reversal of 74569684119876 is 67891148696547.

The square root of 74569684119876 is 8635374.

It is a perfect power (a square), and thus also a powerful number.

74569684119876 is a `hidden beast` number, since 7 + 4 + 5 + 69 + 68 + 411 + 9 + 87 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56595679460100 + 17974004659776 = 7523010^2 + 4239576^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 74569684119795 and 74569684119804.

It is not an unprimeable number, because it can be changed into a prime (74569684119877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1709782246 + ... + 1709825858.

Almost surely, 274569684119876 is an apocalyptic number.

74569684119876 is the 8635374-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74569684119876

74569684119876 is an abundant number, since it is smaller than the sum of its proper divisors (139707994212457).

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

74569684119876 is an frugal number, since it uses more digits than its factorization.

74569684119876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87264 (or 43629 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

74569684119876 divided by its sum of digits (81) gives a square (920613384196 = 9594862).

The spelling of 74569684119876 in words is "seventy-four trillion, five hundred sixty-nine billion, six hundred eighty-four million, one hundred nineteen thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 19602 39204 43613 87226 130839 174452 261678 392517 479743 523356 785034 959486 1177551 1439229 1570068 1918972 2355102 2878458 3532653 4317687 4710204 5277173 5756916 7065306 8635374 10554346 12953061 14130612 15831519 17270748 21108692 25906122 31663038 38859183 47494557 51812244 63326076 77718366 94989114 142483671 155436732 189978228 284967342 427451013 569934684 854902026 1709804052 1902093769 3804187538 5706281307 7608375076 11412562614 17118843921 20923031459 22825125228 34237687842 41846062918 51356531763 62769094377 68475375684 83692125836 102713063526 125538188754 154069595289 188307283131 205426127052 230153346049 251076377508 308139190578 376614566262 460306692098 564921849393 616278381156 690460038147 753229132524 920613384196 1129843698786 1380920076294 1694765548179 2071380114441 2259687397572 2761840152588 3389531096358 4142760228882 6214140343323 6779062192716 8285520457764 12428280686646 18642421029969 24856561373292 37284842059938 74569684119876