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74313084192 = 2535314719929
BaseRepresentation
bin100010100110101100…
…1111010110100100000
321002211000011211002120
41011031121322310200
52204143122143232
654050003144240
75240355536064
oct1051531726440
9232730154076
1074313084192
1129574887066
121249b375080
137013b98489
14384d787aa4
151dee0cb92c
hex114d67ad20

74313084192 has 96 divisors (see below), whose sum is σ = 198907591680. Its totient is φ = 24284682240.

The previous prime is 74313084187. The next prime is 74313084193. The reversal of 74313084192 is 29148031347.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (74313084193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7479484 + ... + 7489412.

It is an arithmetic number, because the mean of its divisors is an integer number (2071954080).

Almost surely, 274313084192 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 74313084192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99453795840).

74313084192 is an abundant number, since it is smaller than the sum of its proper divisors (124594507488).

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

74313084192 is a wasteful number, since it uses less digits than its factorization.

74313084192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11466 (or 11458 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 74313084192 in words is "seventy-four billion, three hundred thirteen million, eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1471 1696 2544 2942 4413 5088 5884 8826 9929 11768 17652 19858 23536 29787 35304 39716 47072 59574 70608 77963 79432 119148 141216 155926 158864 233889 238296 311852 317728 467778 476592 526237 623704 935556 953184 1052474 1247408 1578711 1871112 2104948 2494816 3157422 3742224 4209896 6314844 7484448 8419792 12629688 14605559 16839584 25259376 29211118 43816677 50518752 58422236 87633354 116844472 175266708 233688944 350533416 467377888 701066832 774094627 1402133664 1548189254 2322283881 3096378508 4644567762 6192757016 9289135524 12385514032 18578271048 24771028064 37156542096 74313084192